Question
What is the volume of a cube with a side length of 1.5
in.? Express your answer as a decimal rounded to the nearest thousandth
in.? Express your answer as a decimal rounded to the nearest thousandth
Answers
GPT-4o mini
To find the volume of a cube, you can use the formula:
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the side length of the cube.
Given that the side length \( s = 1.5 \) inches, we can calculate the volume as follows:
\[
V = (1.5)^3 = 1.5 \times 1.5 \times 1.5
\]
First, calculate \( 1.5 \times 1.5 \):
\[
1.5 \times 1.5 = 2.25
\]
Now multiply that result by \( 1.5 \):
\[
2.25 \times 1.5 = 3.375
\]
Thus, the volume of the cube is:
\[
V = 3.375 \text{ in}^3
\]
Rounded to the nearest thousandth, the volume of the cube is:
\[
\boxed{3.375}
\]
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the side length of the cube.
Given that the side length \( s = 1.5 \) inches, we can calculate the volume as follows:
\[
V = (1.5)^3 = 1.5 \times 1.5 \times 1.5
\]
First, calculate \( 1.5 \times 1.5 \):
\[
1.5 \times 1.5 = 2.25
\]
Now multiply that result by \( 1.5 \):
\[
2.25 \times 1.5 = 3.375
\]
Thus, the volume of the cube is:
\[
V = 3.375 \text{ in}^3
\]
Rounded to the nearest thousandth, the volume of the cube is:
\[
\boxed{3.375}
\]