High School

How many cm³ are there in 1.25 ft³?

A. 38.1
B. \(5.49 \times 10^3\)
C. 246
D. \(3.54 \times 10^4\)
E. none of the above

Answer :

Final answer:

To find out how many cm³ are in 1.25 ft³, you convert cubic feet to cubic inches and then to cubic centimeters. Ultimately, 1.25 ft³ is equal to 3.54 × 10⁴ cm³. Hence, the correct answer is D. 3.54 × 10⁴ cm³.

Explanation:

To convert 1.25 ft³ to cm³, we begin by determining the number of cubic inches in a cubic foot, then converting to cubic centimeters. We find that 1 ft³ equals 1728 cubic inches (in³), as there are 12 inches in a foot, cubed (12²). Therefore, for 1.25 ft³:

1 ft³ = 1728 in³

1.25 ft³ = 1.25 × 1728 in³

1.25 ft³ = 2160 in³

Then, since 1 in³ is equivalent to 16.39 cm³, we can calculate the volume in cm³:

1.25 ft³ = 2160 in³ × 16.39 cm³/in³

1.25 ft³ = 35404.1 cm³

The closest available answer by their order of magnitude and value is:

D. 3.54 × 10⁴ cm³