The volume of a rectangular prism is 840 in³. If the area of the base is 60 in², find its height. Draw and label a model to show your thinking.

Question

asked Oct 14, 2020 135k views

1 Answer

Todor Simeonov · Answer 1 · 2020-10-20T22:43:26+0000

Answer: 14 inches

Explanation:

Given : The volume of a rectangular prism :
$V= 840\ in^3$

The area of base :
$A=60\ in^2$

Let h be the height of the rectangular prism.

The formula to find the volume of a rectangular prism is given by :-

$\text{Volume = Base Area}*\text{Height}$

i.e.
840=60* h

i.e.
$h=(840)/(60)=14\ in$ [Divide both sides by 60]

Hence, the volume rectangular prism = 14 inches