A pool is filled with 270 270270 cubic meters of water. The base of the pool is 15 m 15 m15, start text, space, m, end text long and 9 m 9 m9, start text, space, m, end text wide. What is the height of the water in the pool?

the height of the water in the pool is 2m

Step-by-step explanation:

This problem bothers on the mensuration of solids.

Given data

Volume of pool v = 270m³

Base length l = 15m

Base width b = 9m

Height h=?

The pool takes the shape of a rectangular prism

The expression for the volume of the pool is

v = l*b*h

Substituting our given data we have

270 = 15*9*h

270 = 135h

h = 270/135

h = 2

Therefore the height h = 2m

Answer: 2m

Step-by-step explanation:

Hi, the correct question is:

A pool is filled with 270 cubic meters of water. The base of the pool is 15m long and 9m wide. What is the height of the water in the pool?

So to solve this we have to apply the next formula: (since the pool is a rectangular prism)

Volume of a rectangular prism = length x width x height

Replacing with the values given and solving for h (height)

270 = 15 x 9 x h

270 = (135) h

270/135 = h

2 = h

h = 2m

Feel free to ask for more if needed or if you did not understand something.