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
ft.3
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{15.625} \, \text{ft}^3
\]
\[
V = s^3
\]
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:
\[
\boxed{15.625} \, \text{ft}^3
\]
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