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?
Write ur answer in: in.^3
To find the volume of the desk, we need to calculate the volume of the rectangular prism shape that makes up the majority of the desk.
Volume = length x width x height
Volume = 40 inches x 12 inches x 24 inches
Volume = 11,520 cubic inches
Therefore, the volume of the desk is 11,520 cubic inches.
wrong.
I apologize for the mistake. Let's correct the calculation.
Since the desk has a gap in the middle, we need to subtract the volume of the gap from the total volume of the desk.
The gap is a rectangular prism with dimensions:
Length = 20 inches (40 inches total length - 10 inches for each leg)
Width = 12 inches
Height = 18 inches
Volume of the gap = Length x Width x Height
Volume of the gap = 20 inches x 12 inches x 18 inches
Volume of the gap = 4,320 cubic inches
Now, we can calculate the volume of the desk excluding the gap:
Volume of the desk = Total volume - Volume of the gap
Volume of the desk = 40 inches x 12 inches x 24 inches - 4320 cubic inches
Volume of the desk = 11,520 cubic inches - 4320 cubic inches
Volume of the desk = 7200 cubic inches
Therefore, the correct volume of the desk is 7200 cubic inches (in.^3). Thank you for pointing out the mistake.