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Answer :
The number of gallons needed to fill 3/4 of the bathtub is 123 gallons. Option C.
Volume of a rectangular prism
To calculate the number of gallons of water needed to fill 3/4 of the bathtub, we need to find the volume of 3/4 of the rectangular prism-shaped bathtub and then convert that volume into gallons.
Given dimensions of the bathtub:
Width = 30 inches
Length = 60 inches
Depth = 21 inches
Volume of the bathtub = Width × Length × Depth
Volume = 30 inches × 60 inches × 21 inches
Volume in cubic feet = (30 inches × 60 inches × 21 inches) / ([tex]12^3[/tex])
Volume of 3/4 of the bathtub = (3/4) × [(30 inches × 60 inches × 21 inches) / ([tex]12^3[/tex])]
Now, to convert the volume from cubic feet to gallons, we multiply by the conversion factor of 7.48 gallons per cubic foot:
Volume in gallons = (3/4) × [(30 inches × 60 inches × 21 inches) / ([tex]12^3[/tex])] × 7.48
Volume in gallons ≈ 123 gallons
Therefore, the approximate number of gallons of water needed to fill 3/4 of the bathtub is 123 gallons.
More on rectangular prism can be found here: https://brainly.com/question/29124743
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