Question

ASAP

Level 3
The volume of a rectangular pool is the product of the pool's area and depth. Suppose a pool that is 12 feet deep has
a volume of 10368 ft? What is the area of the pool?
The area of the pool is
square feet.
The area of the pool is the product of the pool's length and width. Suppose the pool's length is 24 ft. What is the
pool's width?
The pool's width is
feet

Answer 1

The area of the pool is
`864\ ft^2`

The pool's width is 36 ft

Explanation:

Volume and Area

The volume of a rectangular pool is the product of the pool's area and depth. We are given the pool's depth d=12 feet and the pool's volume V=10368
`ft^3`

Since:

`V= d*A`

Solving for A:

`\displaystyle A=(V)/(d)=(10368)/(12)=864\ ft^2`

The area of the pool is
`864\ ft^2`

Now we calculate the pool's width, knowing the area is the product of the pool's length and width. Knowing the length is L=24 ft:

`A=L*W`

Solve for W:

`\displaystyle W=(A)/(L)=(864)/(24)=36`

The pool's width is 36 ft