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

1 answer

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:

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