Question

Use the image to answer the question.

The total length is 16 inches and width is 10 inches. The length of the removed portion from the bottom right is 12 inches. The shorter portion that is removed has the remaining length of 4 inches. The remaining width after removing the rectangular portion is 6 inches. The shorter portion that is removed has the remaining width of 4 inches.

Nikolai is making an L-shaped platform for his collection of action figures.

What is the surface area of the platform if it is 3 in. thick?

(1 point)
in.2

Answer 1

First find the base (L-shape) area: area of full rectangle 16×10 = 160. Removed rectangle is 12×6 = 72, so base area A = 160 − 72 = 88 in^2.

Perimeter of the L-shaped base: trace around the outline: 4 + 6 + 12 + 4 + 16 + 10 = 52 in.

For a prism of thickness (height) h = 3, surface area = 2·A + (perimeter of base)·h = 2(88) + 52(3) = 176 + 156 = 332 in^2.

Answer: 332 in.^2