A toy chest in the shape of a rectangular prism has a volume of 8,640 cubic inches.  The base area of the toy chest is 720 square inches.  What is the height of the toy chest?

Verified Answer :

(Volume)= (Base Area) * (Height)
8,640= 720h

h= \(\frac{8650}{720}\)

h= 12 inches

Answer: 12 inches

Step-by-step explanation:

We know that the volume of a rectangular prism is given by :-

\(\text{Volume}=\text{Base area* height}\)

Given :  A toy chest in the shape of a rectangular prism has a volume of 8,640 cubic inches.

The base area of the toy chest is 720 square inches.  

Let h be the height of the toy chest, then we have

\(8640=720\times h\\\\\Rightarrow\ h=\dfrac{8640}{720}=12\)

Hence, the height of the toy chest = 12 inches