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Mensuration Video Lecture | Mathematics (Maths) Class 8

FAQs on Mensuration Video Lecture - Mathematics (Maths) Class 8

1. What is mensuration in mathematics?
Ans. Mensuration is a branch of mathematics that deals with the measurement of geometric figures and their properties, including area, volume, and surface area. It involves calculating dimensions, such as lengths, widths, heights, and radii, to determine the size of various shapes like squares, rectangles, circles, and solids like cubes and cylinders.
2. How do you calculate the area of a rectangle?
Ans. The area of a rectangle can be calculated using the formula: Area = Length × Width. To find the area, simply multiply the length of the rectangle by its width. For example, if a rectangle has a length of 5 cm and a width of 3 cm, the area would be 5 cm × 3 cm = 15 cm².
3. What is the formula for the volume of a cylinder?
Ans. The volume of a cylinder can be calculated using the formula: Volume = π × r² × h, where "r" is the radius of the base of the cylinder, and "h" is the height. Pi (π) is approximately 3.14. For instance, if a cylinder has a radius of 2 cm and a height of 5 cm, the volume would be π × (2 cm)² × 5 cm = 20π cm³, which is approximately 62.83 cm³.
4. How can I find the surface area of a cube?
Ans. The surface area of a cube can be calculated using the formula: Surface Area = 6 × a², where "a" is the length of one edge of the cube. Since a cube has six faces, each face being a square, you multiply the area of one face (a²) by 6. For example, if the length of an edge is 4 cm, the surface area would be 6 × (4 cm)² = 6 × 16 cm² = 96 cm².
5. What are some real-life applications of mensuration?
Ans. Mensuration has several real-life applications, such as in construction (calculating areas for flooring and roofing), agriculture (determining the area of land for cultivation), manufacturing (finding the volume of containers), and even in everyday tasks like planning a garden or wrapping gifts. Understanding mensuration helps in making informed decisions regarding space and resource management.
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