Answer :
Sure, let's find out how many cubic centimeters ([tex]\(cm^3\)[/tex]) are in 1.25 cubic feet ([tex]\(ft^3\)[/tex]).
1. Understand the problem:
We need to convert a volume from cubic feet to cubic centimeters.
2. Know the conversion factor:
1 cubic foot ([tex]\(ft^3\)[/tex]) is equal to 28316.8466 cubic centimeters ([tex]\(cm^3\)[/tex]).
3. Set up the conversion:
Multiply the volume in cubic feet by the conversion factor to get the volume in cubic centimeters.
4. Calculate:
[tex]\[
1.25 \, ft^3 \times 28316.8466 \, \left(\frac{cm^3}{ft^3}\right) = 35396.05825 \, cm^3
\][/tex]
5. Compare with answer choices:
The calculated value is 35396.05825 [tex]\(cm^3\)[/tex], which is closest to [tex]\(3.54 \times 10^4 \, cm^3\)[/tex] when expressed in scientific notation.
6. Conclusion:
The correct answer is [tex]\(3.54 \times 10^4\)[/tex].
Therefore, [tex]\( \boxed{3.54 \times 10^4} \)[/tex] is the correct choice.
1. Understand the problem:
We need to convert a volume from cubic feet to cubic centimeters.
2. Know the conversion factor:
1 cubic foot ([tex]\(ft^3\)[/tex]) is equal to 28316.8466 cubic centimeters ([tex]\(cm^3\)[/tex]).
3. Set up the conversion:
Multiply the volume in cubic feet by the conversion factor to get the volume in cubic centimeters.
4. Calculate:
[tex]\[
1.25 \, ft^3 \times 28316.8466 \, \left(\frac{cm^3}{ft^3}\right) = 35396.05825 \, cm^3
\][/tex]
5. Compare with answer choices:
The calculated value is 35396.05825 [tex]\(cm^3\)[/tex], which is closest to [tex]\(3.54 \times 10^4 \, cm^3\)[/tex] when expressed in scientific notation.
6. Conclusion:
The correct answer is [tex]\(3.54 \times 10^4\)[/tex].
Therefore, [tex]\( \boxed{3.54 \times 10^4} \)[/tex] is the correct choice.
