A square pool has a volume of 1728
cubic feet and a depth of 3 feet. A 4.5
feet high fence will be built around the
pool and the materials used to build the
fence cost $4.50 per square foot. How
much will it cost to build this fence?

Respuesta :

Answer:

Step-by-step explanation:

Area of square = (Length of side)

2

By putting the given values, we have:

1728

=

(length of side)

2

×

8

Solve for length of side,

Length of side of square base of pool =  

1728

8

=

12

 

f

e

e

t

This gives us the dimensions around the pool, which is 18.73ft for each side. Thus, each side will be  

12

×

3.5

 

f

e

e

t

2

of area, which equals  

42

 

f

e

e

t

2

.

You have  

4

sides to enclose the pool multiply this area by four, and you arrive at the square feet surrounding the pool:

42

×

4

=

168

 

f

e

e

t

2