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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 cubic feet per minute (ft³/min). (1 ft = 12 in)

Answer :

Final answer:

To convert from cubic inches per minute to cubic feet per minute, divide the flow rate by 1728 (since 1 cubic foot equals 1728 cubic inches). The cement truck can pour approximately 8.97 cubic feet of cement per minute.

Explanation:

To convert the flow rate of cement from cubic inches per minute to cubic feet per minute, we need to use the conversion factor based on the relationship between inches and feet. Since 1 foot is equal to 12 inches, cubing both sides of this equivalence gives us that 1 cubic foot is 123, or 1728 cubic inches. Therefore, the flow rate of cement from a cement truck can be converted as follows:

Flow rate in ft3/min = (1.55 x 104 in3/min) / (1728 in3/ft3)

Flow rate in ft3/min = 8.96991 ft3/min

So, the cement truck can pour approximately 8.97 cubic feet of cement per minute.

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