How many gallons are there in 14 cubic feet?

Prepare for the North Carolina Surface Water Math Exam. Utilize flashcards and multiple-choice questions, complete with hints and explanations. Ace your upcoming test!

Multiple Choice

How many gallons are there in 14 cubic feet?

Explanation:
To determine the number of gallons in 14 cubic feet, one must use the conversion factor that 1 cubic foot is equal to approximately 7.48 gallons. First, multiply the volume in cubic feet by the conversion factor: \[ 14 \text{ cubic feet} \times 7.48 \text{ gallons/cubic foot} \] Calculating this gives: \[ 14 \times 7.48 = 104.72 \text{ gallons} \] This calculation shows that there are indeed 104.72 gallons in 14 cubic feet, making this choice accurate. Understanding this conversion is crucial, especially in water management and environmental studies, as units often need to be converted from cubic measurements to fluid measurements for practical applications, like knowing how much water a certain volume can hold. The other choices do not suffice because they reflect either a misunderstanding of the conversion rate or inaccurate calculations relative to the volume specified.

To determine the number of gallons in 14 cubic feet, one must use the conversion factor that 1 cubic foot is equal to approximately 7.48 gallons.

First, multiply the volume in cubic feet by the conversion factor:

[

14 \text{ cubic feet} \times 7.48 \text{ gallons/cubic foot}

]

Calculating this gives:

[

14 \times 7.48 = 104.72 \text{ gallons}

]

This calculation shows that there are indeed 104.72 gallons in 14 cubic feet, making this choice accurate. Understanding this conversion is crucial, especially in water management and environmental studies, as units often need to be converted from cubic measurements to fluid measurements for practical applications, like knowing how much water a certain volume can hold. The other choices do not suffice because they reflect either a misunderstanding of the conversion rate or inaccurate calculations relative to the volume specified.

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