Use the image to answer the question.

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

879 in.2
879 in. squared

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

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

2,320.5 in.2
2,320.5 in. sq

Only use the asnwer below, SHOW YOUR WORK

Answer 1

1,409.5 in.2

Surface Area of Bottom Rectangle:
= 2lw + 2lh + 2wh
= 2(17)(6.5) + 2(17)(13) + 2(6.5)(13)
= 221 + 442 + 169
= 832 in.2

Surface Area of Top Rectangle:
= 2lw + 2lh + 2wh
= 2(8.5)(6.5) + 2(8.5)(13) + 2(6.5)(13)
= 221 + 442 + 169
= 577 in.2

Total Surface Area:
= Surface Area of Bottom Rectangle + Surface Area of Top Rectangle
= 832 + 577
= 1,409 in.2

Therefore, the surface area of the two-tiered steps is 1,409.5 in.2.