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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

1 answer

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

\[ V = s^3 \]

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

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

\[ V = (2.5)^3 = 2.5 \times 2.5 \times 2.5 = 15.625 \text{ ft}^3 \]

To express this result rounded to the nearest thousandth, we have:

\[ V \approx 15.625 \text{ ft}^3 \]

Therefore, the volume of the cube is 15.625 ft³.