The surface area of the two-tiered steps can be calculated by finding the surface area of both rectangular prisms separately and then adding them together.
Surface area of the large rectangular prism on the bottom:
2(lw + lh + wh) = 2(17*14 + 17*6.5 + 14*6.5) = 2(238 + 110.5 + 91) = 879 in^2
Surface area of the small rectangular prism on top:
2(lw + lh + wh) = 2(8.5*14 + 8.5*6.5 + 14*6.5) = 2(119 + 55.25 + 91) = 530.5 in^2
Total surface area of the two-tiered steps:
879 + 530.5 = 1,409.5 in^2
Therefore, the correct answer is 1,409.5 in^2.
Use the image to answer the question.
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)
Responses
1,409.5 in.2
2,320.5 in.2
1,171.5 in.2
879 in.2
1 answer
4 answers