Surface Area Unit Test answers
1. What is the formula for finding the surface area of a rectangular prism?
Answer: The formula is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
2. Find the surface area of a rectangular prism with dimensions 4 cm, 5 cm, and 6 cm.
Answer: Surface Area = 2(4)(5) + 2(4)(6) + 2(5)(6) = 40 + 48 + 60 = 148 cm^2
3. What is the formula for finding the surface area of a cylinder?
Answer: The formula is 2πr^2 + 2πrh, where r is the radius and h is the height of the cylinder.
4. Find the surface area of a cylinder with radius 3 cm and height 8 cm.
Answer: Surface Area = 2π(3)^2 + 2π(3)(8) = 2π(9) + 2π(24) = 18π + 48π = 66π cm^2
5. What is the formula for finding the surface area of a sphere?
Answer: The formula is 4πr^2, where r is the radius of the sphere.
6. Find the surface area of a sphere with radius 5 cm.
Answer: Surface Area = 4π(5)^2 = 4π(25) = 100π cm^2
7. What is the formula for finding the surface area of a cone?
Answer: The formula is πr^2 + πrs, where r is the radius, s is the slant height, and h is the height of the cone.
8. Find the surface area of a cone with radius 4 cm and slant height 6 cm.
Answer: Surface Area = π(4)^2 + π(4)(6) = π(16) + π(24) = 16π + 24π = 40π cm^2