The volume of the desk is 5,040 in.³
To find the volume of the desk, we first need to find the volume of the entire rectangular prism (desk).
Volume = length * width * height
Volume = 40 in * 12 in * 24 in
Volume = 11,520 in.³
Next, we subtract the volume of the two legs in the middle of the desk:
Volume of each leg = 10 in. * 10 in. * 18 in. = 1,800 in.³
Total volume of both legs = 1,800 in.³ * 2 = 3,600 in.³
Final volume = Total volume of entire rectangular prism - Total volume of both legs
Final volume = 11,520 in.³ - 3,600 in.³
Final volume = 5,040 in.³
So, the volume of the desk is 5,040 in.³.
Volume of Composite 3D Figures Quick Check5 of 55 of 5 ItemsQuestionUse 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)Responses7,200 in.37,200 in. cubed5,760 in.35,760 in. cubed8,640 in.38,640 in. cubed5,040 in.3
3 answers
correct?
Yes, that is correct! The volume of the desk is 5,040 in.³.
1 answer