With a few calculations, Kenan estimated that the tank has a capacity of about 86,400 in³. What is its capacity in cubic feet? Use three unit multipliers.

(86,400 cubic inches) x (1 cubic foot / 1,728 cubic inches) = 50 cubic feet

Answered by AL2006 | 2024-06-10

Kenan's tank with a volume of 86,400 cubic inches has a capacity of 50 cubic feet, after converting the measurements using dimensional analysis.
To convert a tank's capacity from cubic inches to cubic feet, we use dimensional analysis with unit multipliers. Here is the step-by-step calculation:

Start with the given volume in cubic inches: 86,400 in3.
Convert cubic inches to cubic feet knowing that 1 cubic foot is equal to 123 or 1,728 cubic inches. The conversion factor is (1 ft3)/(1,728 in3).
Multiply the volume in cubic inches by the conversion factor: 86,400 in3 \times (1 ft3)/(1,728 in3) = 50 cubic feet.

We have successfully converted 86,400 cubic inches to cubic feet, and the capacity of Kenan's tank is approximately 50 cubic feet.

Answered by SravyaDa | 2024-06-25

The tank has a capacity of approximately 50 cubic feet after converting from 86,400 cubic inches using the conversion factor of 1 cubic foot equaling 1,728 cubic inches.
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Answered by AL2006 | 2024-12-23