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A freshwater fish is healthiest when there is at least one gallon of water for every inch of its body length. Roshel wants to put a goldfish that is about 2 1/2 inches long in her tank. Roshels tank is 7 inches long, 5 inches wide, and 7 inches high. The volume of 1 gallon of water is about 231 cubic inches.

AHow many gallons of water would roshel need for the fish?

BWhat is he volume of roshels tank?

CIs her fish tank large enough for the fish? Explain.


(There is 3 three parts to the question)

Verified Answer :

JcAlmighty
AThe answer is 2 1/2 gallons of water.

A freshwater fish is healthiest when there is at least one gallon of water for every inch of its body length: 1 gallon for 1 inch
Roshel wants to put a goldfish that is about 2 1/2 inches long in her tank. So, she needs x gallons of water. x gallons for 2 1/2 inches
Make a proportion:
1 gallon : 1 inch = x : 2 1/2 inches
x = 1 gallon 2 1/2 inches : 1 inch
x = 2 1/2 gallons.


B. The answer is 245 in³.

Roshels tank is 7 inches long, 5 inches wide, and 7 inches high.
The volume of a rectangle is:
V = length width height
V = 7 in 5 in 7 in
V = 245 in³

C. The answer is her tank is not large enough for the fish.

Rachel needs 2 1/2 gallons for the fish and has 245 in³ big tank.
Express 2 1/2 gallons in cubic inches if the volume of 1 gallon of water is about 231 cubic inches:
2 1/2 gallons : x = 1 gallon : 231 in³
5/2 gallons : x = 1 gallon : 231 in³
x = 5/2 gallons 231 in³ : 1 gallon
x = 577 1/2 in³

Since 577 1/2 in³ is bigger than the volume of the tank 245 in³, then her tank is not large enough for the fish.

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