Maths
Work sheet 5
2. Find the height of a cuboid whose volume is 275 cm3 and the base area is 25 cm2.
Answer 2:
5. A match box measures 4 cm x 2.5 cm x 1.5 cm. What will be the volume of a packet containing 12 such boxes?
Answer5:
6. Volume of a cube is 1,000 cm3. Find its total surface area.
Answer 6:
प्रश्न 18.
‘यदि मैं पक्षी होता/होती’ विषय पर 100-150 शब्दों में अनुच्छेद लिखिए-
उत्तर:
यदि मैं पक्षी होता
पक्षी बनने या होने की कल्पना मात्र से मन रोमांचित हो उठता है। आखिर हो भी क्यों न, मनुष्य की आदिकाल से अभिलाषा रही है कि वह पक्षियों की तरह नील गगन में उन्मुक्त उड़े। उसने अपने उड़ने की कल्पना को साकार रूप देने के लिए जहाज आदि का आकार पक्षियों जैसा बनाया। पक्षी उन्मुक्त रूप से उड़ते हुए आकाश की ऊँचाइयों को नाप लेना चाहते हैं। मैं भी पक्षी बनकर उड़ान भरते हुए आकाश की सीमा देख लेना चाहता हूँ। मैं जंगल में सबसे ऊँचे पेड़ की डालियों पर घोंसला बनाता।
मैं अपनी मर्जी से जंगल में उड़ता फिरता और कच्चे-पके अनाज के दानों का स्वाद चखता। यद्यपि भोजन, पानी आदि की परेशानी होती, पर स्वतंत्रता का जो आनंद मिलता, उसकी अभिव्यक्ति शब्दों में कर पाना कठिन है। एक पक्षी बनकर चिंतामुक्त जीवन बिताता, तब न कपड़े सिलवाने की चिंता और न स्कूल जाने की। ज़मीन-जायदाद आदि का हमारे बीच कोई वाद-विवाद न रहता। सचमुच पक्षी बनकर हम कितना स्वतंत्र रहते और जहाँ मन करता, वहाँ आते-आते। काश! अगला जन्म पक्षी का मिल जाता।
More information about dav
Education for All:
DAV institutions have a long-standing commitment to providing education for all, regardless of socio-economic background. They have established schools in both urban and rural areas, reaching out to underserved communities and ensuring that education is accessible to a wide cross-section of the population.
Empowering Women:
DAV institutions have been pioneers in promoting gender equality and women's education. They have consistently emphasized the importance of empowering women through education, leading to the establishment of many girls' schools and colleges. DAV schools have played a crucial role in shaping the lives and careers of countless women, fostering independence and self-reliance.
Value-Based Education:
DAV schools are known for their value-based education. They impart not only academic knowledge but also instill a strong sense of ethics and morality in students. The emphasis on values such as honesty, integrity, and compassion prepares students to become responsible and compassionate individuals who contribute positively to society.
Modern Teaching Methods:
While rooted in tradition, DAV institutions have embraced modern teaching methods and technology. They have adapted to the changing educational landscape by incorporating digital tools, e-learning, and innovative pedagogical approaches. This commitment to staying current with educational trends ensures that DAV students receive a well-rounded education.
Global Recognition:
DAV institutions have gained recognition on the global stage. Many DAV alumni have gone on to achieve remarkable success not only in India but also internationally. They have made significant contributions in various fields, from academia and business to politics and the arts, bringing pride to the DAV legacy.
Contributions to National Development:
The alumni of DAV institutions have made substantial contributions to the development of India. They have been leaders, policymakers, scientists, entrepreneurs, artists, and professionals who have shaped the nation's progress. DAV's role in nurturing such talent is an integral part of its legacy.
Social Responsibility:
DAV institutions are not only focused on academic excellence but also on instilling a sense of social responsibility in students. They encourage students to engage in community service, volunteerism, and charitable initiatives. This approach helps in developing well-rounded individuals who care about the welfare of society.
Holistic Development:
DAV institutions prioritize holistic development, recognizing that education goes beyond textbooks. They provide opportunities for students to excel in sports, cultural activities, and extracurricular pursuits. This approach ensures that DAV students are not only academically proficient but also well-rounded individuals.
Exemplary Faculty:
The strength of DAV institutions lies in their dedicated and highly qualified faculty. Teachers at DAV schools and colleges are committed to imparting knowledge, nurturing talent, and guiding students toward a bright future.
Environmental Awareness:
Many DAV institutions are actively involved in promoting environmental awareness and sustainability. They often organize eco-friendly initiatives and programs that educate students about the importance of environmental conservation.
Parental Involvement:
DAV institutions encourage parental involvement in a child's education. They believe that a strong partnership between parents and the school is crucial for a child's success. Parent-teacher meetings and open communication channels are common practices in DAV schools.
Research and Innovation:
Several DAV colleges and universities have made notable contributions to research and innovation. They are at the forefront of scientific and technological advancements, contributing to the nation's knowledge and progress.
In conclusion, DAV (Dayanand Anglo-Vedic) institutions have a rich history and a strong legacy of providing quality education with a focus on values and holistic development. Their commitment to education for all, gender equality, and social responsibility sets them apart. DAV institutions continue to shape the future of India by producing individuals who are not only academically competent but also ethically and culturally enriched, ready to contribute to the betterment of society.
Information about social science.
Social science is a diverse and multifaceted field of study that explores various aspects of human society and behavior. It encompasses a wide range of disciplines, each contributing to our understanding of how societies function, evolve, and interact. This comprehensive overview will provide insights into the major branches of social science and their significance.
**1. Sociology:** Sociology is the scientific study of society, human behavior, and the relationships between individuals and groups. Sociologists examine social institutions, cultural norms, and societal changes. They investigate topics like family dynamics, inequality, and the impact of technology on society. Sociology helps us better comprehend the complexities of human interaction and societal structures.
**2. Psychology:** Psychology focuses on understanding the human mind and behavior. Psychologists study a wide array of topics, including cognitive processes, emotional development, mental disorders, and behavior therapy. The field of psychology has applications in clinical settings, education, marketing, and more, contributing to the well-being and understanding of individuals.
**3. Economics:** Economics is the study of how societies allocate resources to meet their needs. It delves into topics like supply and demand, market structures, economic policy, and wealth distribution. Economists play a critical role in shaping government policies, businesses, and global financial markets.
**4. Political Science:** Political science examines the theory and practice of politics, governance, and the functioning of political systems. It encompasses topics such as political theory, international relations, public policy, and the behavior of political institutions. Political scientists analyze the functioning of governments, political ideologies, and the dynamics of international diplomacy.
**5. Anthropology:** Anthropology is the study of human societies, cultures, and their development. Anthropologists explore topics like cultural diversity, human evolution, archaeology, and ethnographic research. They provide insights into the origins of humanity, cultural practices, and the impact of globalization on different societies.
**6. History:** History is the study of past events, developments, and their consequences. Historians research various time periods, examining the political, social, and cultural changes that have shaped human societies. Historical knowledge helps us understand the roots of contemporary issues and make informed decisions.
**7. Geography:** Geography explores the Earth's physical features, landscapes, and the interactions between humans and their environment. It includes branches like human geography, physical geography, and geographic information systems (GIS). Geography is crucial for understanding climate change, urban planning, and the distribution of resources.
**8. Education:** The field of education focuses on the study of teaching and learning. Educators and researchers in this discipline work to enhance educational practices, curriculum development, and educational policy. They play a pivotal role in shaping the future of education and ensuring the effective transmission of knowledge.
**9. Communication Studies:** Communication studies analyze the process of human communication, encompassing verbal, non-verbal, and mass communication. Topics include rhetoric, media studies, interpersonal communication, and the impact of communication technologies. Understanding effective communication is essential in our interconnected, information-driven world.
**10. Linguistics:** Linguistics is the scientific study of language, encompassing its structure, meaning, and usage. Linguists investigate language development, sociolinguistics, and the evolution of languages. Their work has implications for language preservation, translation, and education.
**11. Environmental Science:** Environmental science focuses on the study of the environment, ecology, and the impact of human activities on the natural world. Environmental scientists work to address environmental issues, such as climate change, conservation, and sustainability.
**12. Criminology:** Criminology explores the causes, consequences, and prevention of criminal behavior. Criminologists investigate the criminal justice system, criminal psychology, and the impact of crime on society. Their research contributes to more effective law enforcement and criminal justice policies.
Social science plays a crucial role in addressing societal challenges, informing public policy, and advancing our understanding of human behavior. Its interdisciplinary nature allows for a holistic approach to studying complex social issues. By applying scientific methodo
logies and critical thinking, social scientists contribute to a more informed and equitable society.
Information about maths
Mathematics is a fundamental and universal language that plays a vital role in our everyday lives, shaping the way we understand and interact with the world around us. It is a discipline that encompasses a wide range of concepts, theories, and applications, and its importance extends beyond the confines of the classroom. In this article, we will explore mathematics and its significance in approximately 500 words.
**Mathematics as a Universal Language:**
Mathematics is often described as the universal language. It transcends cultural, linguistic, and geographical barriers, providing a common framework for expressing and solving problems. It is the foundation of all the natural sciences and is crucial in understanding the physical world. Mathematicians and scientists across the globe communicate and collaborate using mathematical principles.
**Key Branches of Mathematics:**
Mathematics is a vast field, with numerous branches, each serving a unique purpose. Some of the key branches of mathematics include:
1. **Arithmetic:** Arithmetic is the most basic branch of mathematics and deals with the operations of addition, subtraction, multiplication, and division.
2. **Algebra:** Algebra focuses on solving equations and manipulating symbols to represent general relationships between quantities.
3. **Geometry:** Geometry explores the properties of shapes, sizes, and the relationships between points, lines, and angles.
4. **Calculus:** Calculus deals with change and motion and includes concepts such as differentiation and integration.
5. **Statistics:** Statistics involves collecting, analyzing, and interpreting data to make informed decisions and predictions.
6. **Linear Algebra:** Linear algebra studies vectors and linear equations and is fundamental in areas like computer graphics and engineering.
7. **Number Theory:** Number theory examines the properties and relationships of integers and plays a significant role in cryptography.
8. **Differential Equations:** Differential equations describe change over time and are used extensively in physics, engineering, and biology.
**Applications of Mathematics:**
Mathematics is not confined to textbooks and classrooms; its applications are virtually limitless. Here are some areas where mathematics plays a crucial role:
1. **Science:** Mathematics is the language of science. It is used in physics, chemistry, biology, and other natural sciences to model and understand the behavior of the physical world.
2. **Engineering:** Engineers apply mathematical principles to design structures, machines, and systems that improve our daily lives, from bridges to smartphones.
3. **Technology:** Mathematics is the foundation of computer science and information technology. Algorithms and data structures are essential for software development.
4. **Finance:** In the world of finance, mathematics is used for risk assessment, investment analysis, and the development of complex financial models.
5. **Medicine:** Medical professionals use mathematical modeling to understand disease spread, optimize treatment, and interpret medical data.
6. **Economics:** Economists rely on mathematical models to analyze economic trends, forecast economic growth, and evaluate the impact of policies.
7. **Astronomy:** Astronomy uses mathematics to calculate planetary orbits, analyze light from distant stars, and predict celestial events.
8. **Artificial Intelligence:** AI and machine learning depend on mathematical algorithms and statistical methods for pattern recognition and decision-making.
9. **Environmental Science:** Mathematics is used to model and predict environmental changes, such as climate patterns and ecological dynamics.
10. **Cryptology:** In an increasingly digital world, mathematics is crucial for developing encryption algorithms to protect sensitive information.
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**The Role of Mathematics in Problem Solving:**
One of the most essential roles of mathematics is problem-solving. It equips individuals with the analytical tools and logical reasoning needed to address challenges in various aspects of life. Whether it's balancing a checkbook, solving complex scientific problems, or optimizing business operations, mathematics provides a structured and systematic approach to finding solutions.
**Conclusion:**
In summary, mathematics is a universal language that underpins nearly every aspect of our lives. Its various branches and applications make it an indispensable tool in fields as diverse as science, technology, economics, and the arts. Mathematics empowers individuals to think critically, analyze data, and solve complex problems, contributing to the progress and advancement of societies worldwide. Whether you are a student learning the basics or a seasoned mathematician working on cutting-edge research, mathematics continues to shape our world and expand our understanding of it.
Information about Maths
Sure, I can provide you with some information about mathematics with a touch of emojis! 🧮✨
**Mathematics Overview 📚:**
Mathematics is the language of numbers, quantities, shapes, and patterns. It's a fundamental field of study that plays a crucial role in various aspects of our daily lives.
**Branches of Mathematics 🌐:**
1. **Arithmetic 🧮:** The basics of mathematics, dealing with numbers and basic operations like addition, subtraction, multiplication, and division.
2. **Algebra 🔢:** Uses symbols and letters to represent numbers and quantities, solving equations and studying mathematical structures.
3. **Geometry 🔺🔵:** Focuses on the properties and relationships of shapes, sizes, and spatial configurations.
4. **Trigonometry 📐:** Concerned with the study of angles and the relationships between the sides and angles of triangles.
5. **Calculus 📈📉:** Examines change and motion, dealing with concepts like limits, derivatives, and integrals.
6. **Statistics 📊:** Involves the collection, analysis, interpretation, presentation, and organization of data.
7. **Number Theory 🔢🤔:** Investigates the properties and relationships of numbers, especially integers.
**Famous Mathematicians 🧑🏫🌟:**
1. **Pythagoras 🇬🇷:** Famous for the Pythagorean theorem in geometry.
2. **Isaac Newton 🍎:** Co-founder of calculus and laws of motion.
3. **Euclid 🇪🇬:** Often referred to as the "Father of Geometry."
4. **Leonhard Euler 🇨🇭:** Contributed to graph theory, topology, and number theory.
5. **Ada Lovelace 🇬🇧:** Regarded as the world's first computer programmer.
**Fun Facts about Mathematics 🎉:**
- The word "mathematics" comes from the Greek word "mathema," meaning "knowledge" or "learning."
- Zero is the only number that cannot be represented by Roman numerals.
- A "googol" is the number 1 followed by 100 zeros, and a
"googolplex" is 1 followed by a googol of zeros.
**Applications of Mathematics in Everyday Life 🌐💡:**
- Budgeting finances 📊💰
- Cooking and measuring ingredients 🍽️🥄
- Planning routes and travel 🗺️🚗
- Understanding data and trends 📈📊
In conclusion, mathematics is not just about numbers; it's a fascinating world of patterns, logic, and problem-solving that touches every aspect of our lives! 🌐🔍🤓
Information about Hindi
**Hindi: The Vibrant Language of India 🇮🇳**
Hindi, one of the most widely spoken languages in the world, is not just a mode of communication; it's a cultural treasure trove and a vibrant expression of the rich heritage of India. Let's delve into the essence of Hindi in approximately 500 words, sprinkled with a touch of emojis! 🌟
**1. Historical Roots 📜:**
Hindi has a deep-rooted history, evolving from the ancient language of Sanskrit. Its journey encompasses centuries, weaving through the tapestry of Indian civilization. Over time, it absorbed influences from Persian, Arabic, and various regional dialects, shaping it into the modern Hindi we know today.
**2. Devanagari Script 🅰️🆎:**
Hindi is written in the Devanagari script, a beautifully intricate writing system. Each character, known as a "akshara," is a work of art, creating a visual symphony that represents the sounds of the language.
**3. Cultural Diversity 🌈:**
Hindi serves as a unifying force in India, a country known for its diverse cultures and languages. While Hindi is the official language, the linguistic landscape is adorned with a myriad of dialects and languages, each contributing to the colorful mosaic of Indian culture.
**4. Bollywood Magic 🎬🎶:**
Bollywood, the world's largest film industry, predominantly uses Hindi as its primary language. The magic of Hindi cinema transcends borders, with its vibrant storytelling, mesmerizing songs, and iconic dance sequences captivating audiences globally.
**5. Literature Gems 📚✨:**
Hindi literature is a treasure trove of masterpieces. From the timeless works of poets like Kabir, Tulsidas, and Mir Taqi Mir to modern-day authors, Hindi literature reflects the myriad emotions, philosophies, and societal narratives that have shaped Indian thought.
**6. Everyday Expressions 🗣️👥:**
In the tapestry of daily life, Hindi stitches together the conversations of millions. It's a language of warmth, where 'Namaste' greets you with respect, 'Dhanyavad' expresses gratitude, and 'Shubh Ratri' wishes a peaceful night.
**7. Festivals and Traditions 🎉🕉️:**
Hindi is intimately woven into the fabric of Indian festivals. Whether it's the exuberance of Holi, the spirituality of Diwali, or the unity in Eid, Hindi becomes the lyrical expression of joy, devotion, and celebration.
**8. Technological Adaptation 💻📲:**
As technology weaves its way into our lives, Hindi adapts seamlessly. From social media interactions to tech terminologies, Hindi embraces innovation while preserving its cultural essence.
**9. Culinary Language 🍛🌶️:**
Food, a universal language, finds its expression in Hindi too. From the spiciness of 'Garam Masala' to the sweetness of 'Gulab Jamun,' Hindi words tantalize the taste buds and evoke the essence of Indian cuisine.
**10. Language of Unity 🤝🇮🇳:**
While India is a melting pot of languages, Hindi plays a pivotal role in fostering unity. It bridges the gap between regions, creating a linguistic thread that connects people from Kashmir to Kanyakumari.
**11. Global Presence 🌏🌐:**
Beyond India's borders, Hindi resonates with a global audience. As the Indian diaspora spreads its wings, Hindi becomes a nostalgic melody, a connection to roots, and a reminder of cultural identity.
**12. Embracing Modernity 🚀📱:**
Hindi is not bound by tradition; it evolves with the times. In the digital age, Hindi content proliferates online platforms, connecting people and ideas, making it a language that seamlessly navigates the virtual world.
In conclusion, Hindi is not just a language; it's a kaleidoscope of culture, history, and emotion. From the vibrant streets of Varanasi to the glitz of Mumbai, Hindi echoes the heartbeat of a nation. It's a language that dances with joy, sings with passion, and tells stories that resonate across borders. 🇮🇳🗣️
