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
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1 answer

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:

\[ \boxed{15.625} , \text{ft}^3 \]