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Question

A 3-dimensional illustration shows two horizontal rectangular prisms, with the smaller one adjoined along the front face of the larger one, to look like steps. Edges that are not visible are drawn with dashed lines. The rectangular prism in front is smaller than the one in the back. The length of both the prisms is 32 yards. The smaller rectangular prism is 6 yards high and 5 yards deep. The larger rectangular prism is 16 yards high. The total combined depth of the two prisms is 15 yards.

What is the total volume of the restaurant with an enclosed porch shown in the diagram?

(1 point)
Responses

4,160 yd.3
4,160 yd. cubed

8,640 yd.3
8,640 yd. cubed

6,080 yd.3
6,080 yd. cubed

5,070 yd.3
5,070 yd. cubed
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Answer 1

The total volume of the restaurant with an enclosed porch shown in the diagram is 4,160 yd.3.

To calculate the volume, we first find the volume of the smaller rectangular prism:
Volume = length x width x height
Volume = 32 yards x 5 yards x 6 yards
Volume = 960 yd.3

Next, we find the volume of the larger rectangular prism:
Volume = length x width x height
Volume = 32 yards x 5 yards x 16 yards
Volume = 2560 yd.3

Finally, we add the volumes of the two prisms together to get the total volume:
Total Volume = 960 yd.3 + 2560 yd.3
Total Volume = 4,160 yd.3

Therefore, the correct answer is 4,160 yd.3.