The area of the base in the prism below is $96$ square inches.

1. Find the volume of the prism.

   Help (a):

   Volume of a prism $=$ (area of base)(height)
   Find the volume if the area of the base is $96$ square inches and the height is $25$ inches.

   Answer (a):

   Volume = ($96$ in^{$^{2}$})($25$ in) $= 2400$ in^{$^{3}$}

2. Find the volume of a pyramid with the same base and height.

   Help (b):

   The volume of a pyramid is $\frac{1}{3}$ the volume of a prism with the same base and height.

3. If another prism has the same volume as this prism, but its base area is $80$ square inches, what is its height?

   Help (c):

   Using the formula for volume of a prism,
   $V =$ (area of base)(height) create an expression to solve for the height.

   Hint (c):

   $2400 = (80)(\text{height})$

   Answer (c):

   Height $= 30$ in