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Answer :
Final answer:
To find out how many gallons the fish tank can hold, convert all measurements to feet, calculate the volume in cubic feet, then convert that volume to gallons using the conversion factor of 7.5 gallons per cubic foot. The fish tank's volume is 4.5 ft³, which equates to approximately 33.75 gallons.
Explanation:
Volume Calculation and Conversion to Gallons
The volume of a container is a measurement of the space inside it. Since the Miller boys' fish tank's volume will determine how many gallons of water it can hold, we should calculate its volume in cubic feet because there are approximately 7.5 gallons per cubic foot. We first need to ensure all the measurements are in the same unit. The tank's measurements are given as 1 yard in length (which is 3 feet), 1 foot in width, and 18 inches in height (which is 1.5 feet).
To calculate the volume, multiply length by width by height:
Volume = length×width × height Volume = 3 ft×1 ft ×1.5 ft = 4.5 ft³
Now, using the conversion factor that one cubic foot is approximately 7.5 gallons:
Gallons = Volume× conversion factorGallons = 4.5 ft³ × 7.5 gal/ft³ = 33.75 gallons
Therefore, the fish tank can hold approximately 33.75 gallons of water.
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Rewritten by : Barada
1. Because you know the number of gallons per square foot. You would want to use cubic feet for the measurement of the tank.
2. Convert all dimensions to feet:
1 yard = 3 feet
18 inches = 1.5 feet.
Volume of tank = 3 x 1.5 x 1 = 4.5 cubic feet.
Multiply gallons per cubic foot by cubic feet of tank:
7.5 x 4.5 = 33.75 gallons.
