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What is Surface Area and Volume? Video Lecture - Class 9

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1. What is the formula for calculating the surface area of a rectangular prism?
Ans. The formula for calculating the surface area of a rectangular prism is: Surface Area = 2(length × width + width × height + height × length)
2. How can I find the volume of a cylinder?
Ans. To find the volume of a cylinder, you can use the formula: Volume = π × radius^2 × height Here, "π" is a mathematical constant (approximately 3.14159), and "radius" refers to the distance from the center of the circular base to its edge. "Height" represents the length of the cylinder from one base to the other.
3. What is the relationship between surface area and volume?
Ans. The relationship between surface area and volume can vary depending on the shape of the object. However, in general, as the volume of an object increases, its surface area also tends to increase. This is because a larger volume typically requires a larger surface area to contain it.
4. How do I calculate the surface area of a cone?
Ans. To calculate the surface area of a cone, you can use the formula: Surface Area = π × radius × (radius + slant height) Here, "π" is a mathematical constant (approximately 3.14159), "radius" refers to the distance from the center of the circular base to its edge, and "slant height" represents the distance from the base to the tip of the cone.
5. What is the formula for finding the volume of a sphere?
Ans. The formula for finding the volume of a sphere is: Volume = (4/3) × π × radius^3 Here, "π" is a mathematical constant (approximately 3.14159), and "radius" refers to the distance from the center of the sphere to its edge.
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