Question

Surface Area of Composite 3D Figures Quick Check
3 of 53 of 5 Items






Question
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

1,171.5 in.2
1,171.5 in. squared

2,320.5 in.2
2,320.5 in. squared

1,409.5 in.2
1,409.5 in. squared

879 in.2

Answer 1

To find the surface area of the two-tiered steps, first calculate the surface area of each individual rectangular prism, and then add them together.

Surface area of large rectangular prism:
2(17*6.5) + 2(17*13) + 2(6.5*13) = 221 + 442 + 169 = 832 in.2

Surface area of small rectangular prism:
2(14*8.5) + 2(14*13) + 2(8.5*13) = 238 + 364 + 221 = 823 in.2

Total surface area of both rectangular prisms: 832 + 823 = 1,655 in.2

Therefore, the correct response is:

1,655 in.2