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puteri [66]
3 years ago
5

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 th

e length of each side of the tank
Mathematics
2 answers:
Naya [18.7K]3 years ago
8 0

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

<u>the answer is</u>

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


marin [14]3 years ago
7 0
If the base of the tank is a square, then the length and width are the same, making the area length*width*height=length*length*8=length^2*8=1268. Dividing both sides by 8, we get length^2=158.5 and by square rooting both sides we get length=sqrt(158.5)=around 12.6 for the length (and width), and 8 feet for the depth/height
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