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

length = 53.22

width = 17.74

Step-by-step 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