Question

A storage container is shaped like a rectangular prism. The volume of the container is 1,360 cubic feet. The area of the base of the container is 160 square feet. What is the height of the container in feet?

Answer 1

The answer is 8.5 feet

Answer 2

The height of the storage container is $8.5ft$

The volume of a rectangular prism having a base area $A$ and a height $h$ is given by

$V=Ah$

That is, the volume of the rectangular prism is the product of its base area and perpendicular height.

Since we are given the values of the volume and base area ($V=1360ft^3$ and $A=160ft^2$ respectively), we can substitute and solve for the unknown height.

$V=A\times h\\\\\implies 1360=160\times h\\\\\implies h=\dfrac{1360}{160}=8.5ft$

So, the height of the storage container is $8.5ft$

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