A series of video lessons on finding the area and perimeter of various 2D shapes
Introduction to CBSE Class 8 Mathematics Chapter "Mensuration - Perimeter and Area"
The chapter on “Mensuration – Perimeter and Area” in CBSE Class 8 Mathematics unfolds the study of the various attributes of two-dimensional shapes. Beginning with the basics, it guides students through the process of calculating the perimeter, which is the total distance around the edge of a polygon, and the area, which is the measure of the space contained within the shape’s boundaries.
Students are introduced to a range of shapes including rectangles, squares, parallelograms, triangles, trapeziums, and circles, with each section providing detailed formulas and methods for calculating their areas and perimeters. The chapter also explains how to work out the area of a combination of these shapes, leading to practical applications such as finding the paint required for a wall or the carpeting needed for a floor.
Illustrations, practice problems, and real-life application examples are plentiful throughout the chapter, making the abstract concepts of mensuration tangible and understandable.
Assignments for CBSE Class 8 Mathematics Chapter “Mensuration – Perimeter and Area”
- Field Trip Calculation: Measure your classroom and calculate the amount of material needed to cover the floor.
- Area and Perimeter Diary: Keep a diary for a week of all the areas and perimeters you encounter in real life.
- Design a Park: Using graph paper, design a park and calculate the fencing needed around it and the grass area inside.
- Shape Hunt: Find objects at home or school that resemble geometric shapes and calculate their areas and perimeters.
- Practical Problems: Solve a set of problems related to real-life scenarios, like planning a garden layout or installing tiles.
Conclusion
“Mensuration – Perimeter and Area” is a critical chapter in the CBSE Class 8 Mathematics curriculum, equipping students with the mathematical tools to explore and understand the world around them. Learning these concepts not only builds a foundation for further studies in geometry but also enhances students’ problem-solving and analytical skills.
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Questions and Answers for CBSE Class 8 Mathematics Chapter "Mensuration - Perimeter and Area"
- Q1: What is the formula for the area of a rectangle?
ANS: The formula for the area of a rectangle is length multiplied by breadth (A = l × b). - Q2: How do you calculate the perimeter of a square?
ANS: To calculate the perimeter of a square, multiply the length of one side by 4 (P = 4a). - Q3: What is the difference between area and perimeter?
ANS: Area measures the space within a shape, while perimeter is the total distance around the shape. - Q4: How can you find the area of a parallelogram?
ANS: The area of a parallelogram is calculated by multiplying the base by the height (A = b × h). - Q5: Can you use the same formula for the area of a rectangle to find the area of a square?
ANS: Yes, since a square is a rectangle with equal sides, the formula for the area (A = l × b) applies, simplifying to (A = side × side). - Q6: How do you find the perimeter of a circle, also known as the circumference?
ANS: The circumference of a circle is found by multiplying pi (π) by the diameter (C = πd) or by multiplying pi by twice the radius (C = 2πr). - Q7: What is the area of a trapezium?
ANS: The area of a trapezium is half the sum of the parallel sides multiplied by the height (A = ½(a + b)h). - Q8: How are the concepts of area and perimeter used in everyday life?
ANS: They are used in planning construction projects, making crafts, organizing space, and in activities like buying a plot of land or installing a fence. - Q9: What is the significance of π in finding the area and perimeter of a circle?
ANS: Pi (π) is the ratio of the circumference to the diameter of any circle and is essential in the formulas for the circle’s area and circumference. - Q10: Why is it important for students to learn about mensuration?
ANS: Learning about mensuration is important as it is widely used in various fields like engineering, architecture, sciences, and in daily life for practical problem-solving.
