Surface Area and Volume Review

Colby is finding the surface area of the triangular prism shown. Which expression will give him the correct value of B, the area of the base?

• $7\left(15\right)$
  

• $7\left(11\right)$
  

• $\frac{1}{2}\left(7\right)\left(11\right)$

• $\frac{1}{2}\left(7\right)\left(15\right)$

Benton is painting the lateral surface of a cylinder shaped like the one above. Which expression will give him the number of square inches that he will be painting?

• $2π(3.5)(5)$

• $2π(1.75)(5)$

• $2π(2.5)(3.5)$

• $2π(1.75)(2.5)$

Kendall is using the formula shown to find the surface area of the prism: Ph + 2B Assuming the base is the shaded surface, what does P equal?

Kendall is using the formula shown to find the surface area of the prism: Ph + 2B Assuming the base is the shaded surface, what does h equal?

Kendall is using the formula shown to find the surface area of the prism: Ph + 2B Assuming the base is the shaded surface, what does B equal?

Brendan is building a dog house, and the dimensions of the roof are shown. What is the lateral surface area of the roof?

• 24.84 ft²

• 46 ft²

• 54.1 ft²

• 43.2 ft²

The cylindrical coffee cup has a radius of 1.8 inches and a height of 4 inches. Find the surface area of the coffee cup, not including the handle. Round to the nearest tenth.

• 55.4 inches²

• 65.6 inches²

• 45.2 inches²

• 40.7 inches²

Julia is wrapping a block of cheese shaped like the prism shown in shrink wrap. What is the minimum amount of shrink wrap that she will need?

• 32.4 in²

• 30.8 in²

• 41.2 in²

• 54.8 in²

A rolling pin is shaped like a cylinder with a diameter of 3 inches and a height of 12 inches. How many square inches of space does the rolling pin come in contact with after one complete roll?

• 113.04 in²

• 127.17 in²

• 226.08 in²

• 282.6 in²

A department store is selling gift boxes shaped like rectangular prisms around the holidays. The base of each gift box measures 8 cm by 12 cm, and the height of each gift box is 10 cm. What is the lateral surface area of one of the gift boxes?