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
The volume of the desk can be calculated by finding the volume of the main rectangular prism shape and then subtracting the volume of the two legs.
Main rectangular prism shape:
Length = 40 inches
Width = 12 inches
Height = 24 inches
Volume = length x width x height
Volume = 40 in x 12 in x 24 in
Volume = 11,520 cubic inches
Legs:
Each leg is 10 inches wide, 18 inches high, and 12 inches deep (since it's half of the width of the main shape)
Volume of one leg = 10 in x 18 in x 12 in
Volume of one leg = 2,160 cubic inches
Since there are 2 legs:
Total volume of legs = 2 x 2,160 cubic inches
Total volume of legs = 4,320 cubic inches
To find the volume of the desk, subtract the volume of the legs from the volume of the main shape:
11,520 cubic inches - 4,320 cubic inches = 7,200 cubic inches
Therefore, the volume of the desk is 7,200 in.3.