Volume of Composite 3D Figures Quick Check

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Question
Use the image to answer the question.

An illustration shows a drawing of a pedestal desk with two full-width legs and a gap in the middle. The overall length of the table is 40 inches, the overall width is 12 inches, and the overall height is 24 inches. The two legs on the sides are each 10 inches wide and 18 inches high.

What is the volume of the desk?

(1 point)
Responses

7,200 in.3
7,200 in. cubed

5,040 in.3
5,040 in. cubed

8,640 in.3
8,640 in. cubed

5,760 in.3

3 answers

To find the volume of the desk, we first need to find the volume of the full rectangular shape of the desk, including the gap in the middle.

Volume = length x width x height
Volume = 40 inches x 12 inches x 24 inches
Volume = 11,520 cubic inches

Next, we need to subtract the volume of the two legs on the sides from the total volume to find the volume of the gap in the middle.

Volume of both legs = (10 inches x 18 inches) x 2 = 360 cubic inches

Total volume of the desk with the gap = 11,520 cubic inches - 360 cubic inches = 11,160 cubic inches

Therefore, the correct answer is not listed. None of the provided choices match our calculation.
just pick an answer
In that case, I will choose the closest answer based on the calculations provided:

The closest answer is 8,640 in.3.

Therefore, I will choose 8,640 in.3 as the closest answer.