Answer :
To find out how many cubic centimeters ([tex]\(cm^3\)[/tex]) there are in 1.25 cubic feet ([tex]\(ft^3\)[/tex]), we need to use a conversion factor between feet and centimeters.
1. Start with the basic conversion between feet and centimeters:
- [tex]\(1 \text{ foot} = 30.48 \text{ centimeters}\)[/tex].
2. Find the conversion for cubic dimensions:
- Since we are dealing with volume, which is a three-dimensional measurement, we need to cube the conversion factor for linear measurements.
- Therefore, [tex]\(1 \text{ cubic foot} = (30.48 \text{ cm})^3 = 28316.846592 \text{ cubic centimeters}\)[/tex].
3. Calculate the volume in cubic centimeters:
- We have 1.25 cubic feet, so we need to multiply the cubic feet by the cubic centimeters conversion factor.
- [tex]\[ 1.25 \text{ ft}^3 \times 28316.846592 \text{ cm}^3/\text{ft}^3 = 35396.05824 \text{ cm}^3 \][/tex]
4. Select the correct answer from the given options:
- From the list of options provided, compare with [tex]\(35396.05824 \text{ cm}^3\)[/tex].
The closest option is [tex]\(3.54 \times 10^4\)[/tex], which represents [tex]\(35,400 \text{ cm}^3\)[/tex] when rounded reasonably from the given calculation. Thus, the correct choice is:
[tex]\(3.54 \times 10^4\)[/tex].
1. Start with the basic conversion between feet and centimeters:
- [tex]\(1 \text{ foot} = 30.48 \text{ centimeters}\)[/tex].
2. Find the conversion for cubic dimensions:
- Since we are dealing with volume, which is a three-dimensional measurement, we need to cube the conversion factor for linear measurements.
- Therefore, [tex]\(1 \text{ cubic foot} = (30.48 \text{ cm})^3 = 28316.846592 \text{ cubic centimeters}\)[/tex].
3. Calculate the volume in cubic centimeters:
- We have 1.25 cubic feet, so we need to multiply the cubic feet by the cubic centimeters conversion factor.
- [tex]\[ 1.25 \text{ ft}^3 \times 28316.846592 \text{ cm}^3/\text{ft}^3 = 35396.05824 \text{ cm}^3 \][/tex]
4. Select the correct answer from the given options:
- From the list of options provided, compare with [tex]\(35396.05824 \text{ cm}^3\)[/tex].
The closest option is [tex]\(3.54 \times 10^4\)[/tex], which represents [tex]\(35,400 \text{ cm}^3\)[/tex] when rounded reasonably from the given calculation. Thus, the correct choice is:
[tex]\(3.54 \times 10^4\)[/tex].
