Test Review 4-1

A company is designing an aluminum pencil holder. The pencil holder will be a cylinder with a circular base but no lid. The diameter of the pencil holder at its opening is to be 3 inches, and the height of the pencil holder is to be 5 inches. Which of the following is the closest to the amount of aluminum needed to make this pencil holder?

• 54.2 inches squared

• 61.3 inches squared

• 122.5 inches squared

• 150.8 inches squared

Find the lateral surface area of the cylinder above in terms of pi.

• $25\pi$

• $300\pi$

• $100\pi$

• $200\pi$

One face of a cube-shaped package has an area of  7 5/6 square inches. What is closest to the total surface area of the package? Think- how many faces does a cube have?

• 24 square inches

• 36 square inches

• 47 square inches

• 64 square inches

Find the total surface area of the prism.

• 239.25 cm squared

• 829 cm squared

• 1,218 cm squared

• 346.4 cm squared

Mr. Hoffman has a doorstop in his classroom shaped like the picture above. What is the total surface area of the doorstop?

• 11.3 inches squared

• 22.6 inches squared

• 6 inches squared

• 28.6 inches squared

Find the lateral surface area of the prism shown above. The height of the triangular base is 6 mm.

• 397.5 mm squared

• 1,386 mm squared

• 313.5 mm squared

• 33 mm squared

Chloe is hand painting each surface of the block shown with a unique pattern. If each square centimeter takes her 11 seconds to paint, how many seconds will it take her to paint the block?

• 121 seconds

• 181.5 seconds

• 1,331 seconds

• 1,996.5 seconds

Shannon buys a set of 50 plastic cups for an upcoming baby shower. The cups are cylindrical and have a radius of 1.5 inches and a height of 5 inches. Find the total surface area of the 50 plastic cups. (Assume the cups have no lid.)

• 2,708.25 inches squared

• 61.25 inches squared

• 3,062.5 inches squared

• 2,356 inches squared