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
5,040 in.3
5,040 in. cubed
7,200 in.3
7,200 in. cubed
8,640 in.3
8,640 in. cubed
5,760 in.3
5,760 in. cubed
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To calculate the volume of the desk, you can find the volume of each component separately and then add them together.
The volume of the table top can be calculated as:
Length x Width x Height
40in x 12in x 2in = 960 in^3
The volume of each leg can be calculated as:
Length x Width x Height
10in x 18in x 12in = 2160 in^3 (for each leg)
Since there are two legs, the total volume for the legs is:
2160 in^3 x 2 = 4320 in^3
Now, add the volume of the table top (960 in^3) to the volume of the legs (4320 in^3):
960 in^3 + 4320 in^3 = 5280 in^3
Therefore, the volume of the desk is 5,280 in^3. None of the answer choices given match this result exactly, but the closest one is 5,760 in^3.