Question
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
Answers
GPT-4o mini
The formula for the volume \( V \) of a cube is given by:
\[
V = s^3
\]
where \( s \) is the length of one edge of the cube.
For a cube with an edge length of \( 2.5 \) ft, the volume can be calculated as follows:
\[
V = (2.5 \, \text{ft})^3
\]
Calculating \( (2.5)^3 \):
\[
(2.5)^3 = 2.5 \times 2.5 \times 2.5
\]
First, calculate \( 2.5 \times 2.5 \):
\[
2.5 \times 2.5 = 6.25
\]
Next, multiply by \( 2.5 \) again:
\[
6.25 \times 2.5 = 15.625
\]
Thus, the volume of the cube is:
\[
V = 15.625 \, \text{ft}^3
\]
Rounding to the nearest thousandth:
\[
V \approx 15.625 \, \text{ft}^3
\]
Therefore, the volume of the cube is:
\[
\boxed{15.625} \, \text{ft}^3
\]
\[
V = s^3
\]
where \( s \) is the length of one edge of the cube.
For a cube with an edge length of \( 2.5 \) ft, the volume can be calculated as follows:
\[
V = (2.5 \, \text{ft})^3
\]
Calculating \( (2.5)^3 \):
\[
(2.5)^3 = 2.5 \times 2.5 \times 2.5
\]
First, calculate \( 2.5 \times 2.5 \):
\[
2.5 \times 2.5 = 6.25
\]
Next, multiply by \( 2.5 \) again:
\[
6.25 \times 2.5 = 15.625
\]
Thus, the volume of the cube is:
\[
V = 15.625 \, \text{ft}^3
\]
Rounding to the nearest thousandth:
\[
V \approx 15.625 \, \text{ft}^3
\]
Therefore, the volume of the cube is:
\[
\boxed{15.625} \, \text{ft}^3
\]