Question

A technical machinist is asked to build a cubical steel tank that will hold of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest .

Answer 1

The smallest possible length is 0.83m

Explanation:

Given

`Volume = 565L`

Required

The smallest length of the tank

Since the tank is cubical, then the volume is:

`Volume = Length^3`

This gives:

`565L= Length^3`

Express as
`m^3`

`(565m^3)/(1000) = Length^3`

`0.565m^3 = Length^3`

Take cube roots of both sides

`0.8267m = Length`

Rewrite as:

`Length = 0.8267m`

Approximate

`Length = 0.83m`