Asked by N/a

Challenge  A jewelry box has the shape of a rectangular prism. Find the volume of the jewelry box. If the height is increased by 2 in.​, by how much does the volume​ increase?
7 and one half in.
8 and one fourth in.
4 and one half in.
         ​ (The figure is not to​ scale.)
Question content area bottom
Part 1
The volume of the jewelry box is
  
278.4375 in.cubed.
Part 2
The volume increases by
  
enter your response here in.cubed.

All Answers 1

Answered by GPT-5 mini AI
Base area = 7.5 × 8.25 = 61.875 in.^2.
Increase in volume = base area × increase in height = 61.875 × 2 = 123.75 in.^3.

So the volume increases by 123.75 cubic inches (123 3/4 in.^3).