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

5,760 in.3
5,760 in. cubed

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

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

8,640 in.3
8,640 in. cubed
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the volume of the desk, we need to multiply the length, width, and height of the desk together.

Volume = Length x Width x Height
Volume = 40 in x 12 in x 24 in
Volume = 11,520 in³

However, since the two legs in the middle of the desk are not part of the enclosed space within the desk, we need to subtract their volume from the total volume.

Volume of two legs = (10 in x 12 in x 18 in) x 2
Volume of two legs = 4,320 in³

So, the final volume of the desk is:
11,520 in³ - 4,320 in³ = 7,200 in³

Therefore, the correct answer is:
7,200 in.3