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

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

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

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

7,200 in.3

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

The volume of the desk can be calculated by multiplying the length, width, and height of the desk.

Volume = length x width x height
Volume = 40in x 12in x 24in
Volume = 11,520in3

However, we need to subtract the volume of the two legs on the sides, which are each 10 inches wide x 12 inches wide x 18 inches high.

Volume of one leg = 10in x 12in x 18in = 2,160in3
Volume of both legs = 2,160in3 x 2 = 4,320in3

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

So, the volume of the desk is 7,200 in.3

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