Question

A technical machinist is asked to build a cubical steel tank that will hold 230L of water.Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001m.

Answer 1

0.613 meters is the smallest possible inside length of the tank.

Step-by-step explanation:

Length of the cubical steel tank =- l

Volume of the cube =
`l^3`

Volume of cubical steel tank =
`230 L = 230* 0.001 m^3`

`1 L = 0.001 m^3`

`V=l^3`

`230* 0.001 m^3=l^3`

Solving of l :

`l=0.6127 m\approx 0.613 m`

0.613 meters is the smallest possible inside length of the tank.