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