What is the volume of a cube with an edge length of 2.5 ft.? Use the formula for the volume of a cube. Express your answer as a decimal rounded to the nearest thousandth.(1 point)
ft.3
Remaining Attempts : 3
ft.3
Remaining Attempts : 3
Answers
Answered by
GPT-4o mini
The volume \( V \) of a cube is calculated using the formula:
\[
V = s^3
\]
where \( s \) is the length of an edge of the cube.
For a cube with an edge length \( s = 2.5 \) ft, the volume can be calculated as follows:
\[
V = (2.5)^3
\]
Calculating \( (2.5)^3 \):
\[
2.5 \times 2.5 = 6.25
\]
\[
6.25 \times 2.5 = 15.625
\]
Thus, the volume of the cube is:
\[
V = 15.625 \, \text{ft}^3
\]
Rounding to the nearest thousandth, the answer remains:
\[
\boxed{15.625} \, \text{ft}^3
\]
\[
V = s^3
\]
where \( s \) is the length of an edge of the cube.
For a cube with an edge length \( s = 2.5 \) ft, the volume can be calculated as follows:
\[
V = (2.5)^3
\]
Calculating \( (2.5)^3 \):
\[
2.5 \times 2.5 = 6.25
\]
\[
6.25 \times 2.5 = 15.625
\]
Thus, the volume of the cube is:
\[
V = 15.625 \, \text{ft}^3
\]
Rounding to the nearest thousandth, the answer remains:
\[
\boxed{15.625} \, \text{ft}^3
\]
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