Question

A fish tank at an aquarium has a volume of 1,568 cubic feet and a depth of 8 feet. If the base of the tank is square, what is the length of each side of the tank

Answer 1

we know that

The volume of the tank is equal to

`V=B*h`

where

B is the area of the base of the tank

h is the deep of the tank

In this problem we have

`V=1,568\ ft^(3)\\h=8\ ft`

`V=B*h`

Solve for B

`B=V/h`

substitute the values

`B=1,568/8`

`B=196\ ft^(2)` -------> area of the base of the tank

we know that

the base of the tank is a square

the area of a square is

`A=x^(2)`

where

x is the length side of the square

`196=x^(2)`

`x=14\ ft`

therefore

the answer is

the length of each side of the base of the tank is
`14\ ft`