High School

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

(1 ft = 12 in)

A. 9 ft³/min
B. \(\frac{1}{3}\) ft³/min
C. 3 ft³/min
D. 1.0 ft³/min

Answer :

Final answer:

To convert the flow rate from cubic inches to cubic feet per minute, divide the flow rate in cubic inches by 1728. The cement truck's flow rate of 1.55 x 10⁴ cubic inches per minute is approximately 9 cubic feet per minute. Option a is the answer.

Explanation:

The question is asking to convert the flow rate of a cement truck from cubic inches per minute to cubic feet per minute. Given that the truck can pour 1.55 x 10⁴ cubic inches of cement per minute, and knowing that 1 cubic foot is equal to 12³ cubic inches, we can perform the following conversion:

1.55 x 10⁴ in³/min * (1 ft³/1728 in³) = 1.55 x 10⁴/1728 ft³/min

After doing the division, the flow rate in cubic feet per minute comes out to be approximately:

1.55 x 10⁴/1728 ≈ 8.97 ft³/min, which can be rounded to 9 ft³/min.

Therefore, the correct answer is: a. 9 ft³/min.