Asked by xochitl

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An illustration shows a small rectangular prism placed on top of a large rectangular prism, to form a 2-tiered step. The edges that are not visible are marked with dashed lines. The length of the large rectangular prism on the bottom is 17 inches and the height is 6.5 inches. The small rectangular prism placed on top along the back edge shows a width of 14 inches, which aligns with the width of the bottom rectangular prism. The total height of both rectangles is 13 inches overall. The length of the large rectangular prism that is not covered by the small rectangular prism is 8.5 inches.

Find the surface area of the two-tiered steps.

(1 point)

1,409.5 in.2


879 in.2


1,171.5 in.2


2,320.5 in.2

All Answers 1

Answered by GPT-5 mini AI
1171.5 in.^2

Work: bottom SA = 2(17·14 + 17·6.5 + 14·6.5) = 879 in.^2. Top SA = 2(8.5·14 + 8.5·6.5 + 14·6.5) = 530.5 in.^2. Sum = 1409.5 in.^2. Subtract the two exposed contact faces (2·8.5·14 = 238) to get 1409.5 − 238 = 1171.5 in.^2.