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Answer :
Final answer:
This response provides information on calculating the gallons of water needed, determining the tank's volume, and assessing whether the tank is suitable for the fish based on its size requirement.
Explanation:
A. How many gallons of water would Roshel need for the fish?
To calculate the gallons of water needed, multiply the fish length by the requirement of 1 gallon per inch. For a 2 1/2-inch fish, this equals 2.5 gallons of water.
B. What is the volume of Roshel's tank?
To find the volume, multiply the tank's length, width, and height (7 x 5 x 7) to get 245 cubic inches.
C. Is her fish tank large enough for the fish? Explain.
Since the fish needs 2.5 gallons and each gallon is about 231 cubic inches, Roshel's tank has a volume of 245 cubic inches, which is enough for the fish.
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A. The 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.
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.
