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 volume \( V \) of a cube can be calculated using the formula:

\[ V = s^3 \]

where \( s \) is the length of an edge of the cube.

Given an edge length of \( s = 2.5 \) ft, we can calculate the volume as follows:

\[ V = (2.5)^3 = 2.5 \times 2.5 \times 2.5 \]

Calculating it step-by-step:

  1. \( 2.5 \times 2.5 = 6.25 \)
  2. \( 6.25 \times 2.5 = 15.625 \)

Thus, the volume of the cube is:

\[ V = 15.625 , \text{ft}^3 \]

Rounding to the nearest thousandth, the volume remains:

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