Question

A tank is in the shape of a rectangular prism. If the base has an area of 116 square feet and the tank is 30 feet tall, how many cubic feet of water would the tank contain when it is filled halfway?

Answer 1

1740 cubic feet

Explanation:

Given:

A tank is in the shape of a rectangular prism.

Area of base = 116 square feet

Height of the tank = 30 feet

Question asked:

How many cubic feet of water would the tank contain when it is filled halfway?

Solution:

Area of rectangular base = 116 square feet

`Length* breadth=116`

As we know:

`Volume\ of\ rectangular\ prism=length* breadth* height`

`=116*30=3480\ cubic\ feet`

That means capacity of tank is 3480 cubic feet.

When it is filled halfway, it will contain =

`(1)/(2) \ of\ volume=(1)/(2)*3480=1740\ cubic feet`

Thus, tank will contain 1740 cubic feet of water when it is filled halfway.