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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

Answer 1

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.