Answer:
The height of the rectangular prism is 7.5 inches
Explanation:
- The rule of the volume of a rectangular prism is
V = l w h, where V is the volume, l is the length of the base of
the prism, w is the width of the base of the prism, and h is the
height of the prism
- The volume of the prism is 300 inches³
- The length of the base of the prism is 5 inches
- The width of the base of the prism is 8 inches
- We need to find the height of the prism
∵ V = 300 inches³
∵ l = 5 inches
∵ w = 8 inches
∵ V = l w h
- Substitute the values of l, w, V in the rule above
∵ 300 = 5 × 8 × h
∴ 300 = 40 h
- Divide both sides by 40
∴ h = 7.5 inches
* The height of the rectangular prism is 7.5 inches