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
8,640 in.3
8,640 in. cubed
5,040 in.3
5,040 in. cubed
7,200 in.3
The volume of the desk can be calculated by finding the volume of the rectangular prism formed by the desk.
Volume = length x width x height
Volume = 40 inches x 12 inches x 24 inches
Volume = 11,520 cubic inches
However, since the desk has a gap in the middle due to the legs, we need to subtract the volume of the two legs from the total volume.
Volume of the two legs = 2 x (10 inches x 12 inches x 18 inches)
Volume of the two legs = 4,320 cubic inches
Final volume of the desk = Total volume - Volume of the two legs
Final volume = 11,520 cubic inches - 4,320 cubic inches
Final volume = 7,200 cubic inches
Therefore, the correct answer is 7,200 in.3.