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A cement truck can pour [tex]1.55 \times 10^4[/tex] cubic inches of cement per minute. Express this in [tex]ft^3/min[/tex].

(1 ft = 12 in)

A. 1.0 [tex]ft^3/min[/tex]
B. 3 [tex]ft^3/min[/tex]
C. [tex]\frac{1}{3}[/tex] [tex]ft^3/min[/tex]
D. 9 [tex]ft^3/min[/tex]

Answer :

Final answer:

The cement truck's flow rate of 1.55 x 10⁴ cubic inches per minute is equivalent to approximately 9 cubic feet per minute when converted using the factor of 1728 cubic inches per cubic foot.

Explanation:

To convert the rate of cement flowing from a truck in cubic inches per minute to cubic feet per minute, we can make use of the conversion factor between inches and feet. One foot is equal to 12 inches, and since the volume conversion requires a cubic measure, we'll convert using the cube of this conversion factor (12^3 or 1728 cubic inches per cubic foot).

First, let's take the given flow rate in cubic inches per minute:

1.55 x 10⁴ cubic inches/min

Now, convert to cubic feet per minute:

(1.55 x 10⁴ cubic inches/min) / (1728 cubic inches/cubic foot) = 8.969 (approximately) or 9 cubic feet/min

The correct answer is (d) 9 ft³/min.

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