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
7,200 in.3
7,200 in. cubed
5,040 in.3
5,040 in. cubed
5,760 in.3
5,760 in. cubed
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To find the volume of the desk, we need to find the volume of the rectangular prism formed by the desk.
Volume = Length x Width x Height
Volume = 40 in x 12 in x 24 in
Volume = 11,520 in. cubed
However, we need to subtract the volume of the two legs in order to get the volume of the empty space inside the desk.
Volume of legs = (10 in x 18 in) x 2 = 360 in. cubed
Volume of desk = 11,520 in. cubed - 720 in. cubed = 10,800 in. cubed
So, the volume of the desk is 10,800 in. cubed.