Question

A rectangular prism has a length of 734 inches, a width of 312 inches, and a height of 6 inches. Mario has a storage container for the prism that has a volume of 165 cubic inches. What is the difference in volume between the prism and the storage container?

Answer 1

Answer:
`27.6\ in.^3`

Explanation:

Given

Length of Prism is
`l= 7.34\ in.`

The width of Prism is
`w=3.12\ in.`

The height of Prism is
`h=6\ in.`

The volume of a The height rectangular prism is given as

`V=l* w* h`

Substituting values we get

`\Rightarrow V=7.34* 3.12* 6=137.404\ in.^3`

Volume of storage
`V_s=165\ in.^3`

The difference in volume is

`\Rightarrow 165-137.404=27.59\approx 27.6\ in.^3`