Question

A tank has a height of 3 feet. It’s length is three times it’s width. The volume of the tank is 315 cubic feet. Find the length and width of the tank

Answer 1

length= 53.22

width= 17.74

Explanation:

Assuming the tank is a rectangular prism, then the formula for its volume will be:

volume= height* length * width

v= h * l * w

The length is equal to 3 times width, to put into the equation it will be:

l= 3w

We know that volume is 315 cubic feet and height is 3 feet, if you substitute all value into the equation we can find out the width.

v= h * l * w

315= 3 * l * w

945 = 3w * w

3w^2 = 945

w^2= 315

w= 17.74

Then we can find out length

l= 3 * w

l= 3* 17.74= 53.22