Surface area unit test answers
1. What is the formula for finding the surface area of a rectangular prism?
Answer: The formula for finding the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
2. Calculate the surface area of a rectangular prism with dimensions of 5 cm by 3 cm by 4 cm.
Answer: Using the formula, surface area = 2(5)(3) + 2(5)(4) + 2(3)(4) = 30 + 40 + 24 = 94 cm^2
3. What is the formula for finding the surface area of a cube?
Answer: The formula for finding the surface area of a cube is 6s^2, where s is the length of one side of the cube.
4. Calculate the surface area of a cube with a side length of 8 cm.
Answer: Using the formula, surface area = 6(8^2) = 6(64) = 384 cm^2
5. What is the formula for finding the surface area of a sphere?
Answer: The formula for finding the surface area of a sphere is 4πr^2, where r is the radius of the sphere.
6. Calculate the surface area of a sphere with a radius of 5 cm.
Answer: Using the formula, surface area = 4π(5^2) = 4π(25) = 100π ≈ 314.16 cm^2
7. What is the formula for finding the surface area of a cylinder?
Answer: The formula for finding the surface area of a cylinder is 2πrh + 2πr^2, where r is the radius and h is the height of the cylinder.
8. Calculate the surface area of a cylinder with a radius of 4 cm and a height of 6 cm.
Answer: Using the formula, surface area = 2π(4)(6) + 2π(4^2) = 48π + 32π = 80π ≈ 251.33 cm^2