Question
A cube has an edge length of 18in. What is its volume, in cubic in?
Answers
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 that the edge length \( s = 18 \) inches, we can substitute this value into the formula:
\[
V = 18^3
\]
Calculating \( 18^3 \):
\[
18^3 = 18 \times 18 \times 18
\]
First, calculate \( 18 \times 18 \):
\[
18 \times 18 = 324
\]
Now multiply that result by 18:
\[
324 \times 18
\]
Breaking it down:
\[
324 \times 18 = 324 \times (10 + 8) = 3240 + 2592 = 5832
\]
Thus, the volume of the cube is:
\[
V = 5832 \text{ cubic inches}
\]
So, the volume of the cube is \( \boxed{5832} \) cubic inches.
\[
V = s^3
\]
where \( s \) is the length of an edge of the cube.
Given that the edge length \( s = 18 \) inches, we can substitute this value into the formula:
\[
V = 18^3
\]
Calculating \( 18^3 \):
\[
18^3 = 18 \times 18 \times 18
\]
First, calculate \( 18 \times 18 \):
\[
18 \times 18 = 324
\]
Now multiply that result by 18:
\[
324 \times 18
\]
Breaking it down:
\[
324 \times 18 = 324 \times (10 + 8) = 3240 + 2592 = 5832
\]
Thus, the volume of the cube is:
\[
V = 5832 \text{ cubic inches}
\]
So, the volume of the cube is \( \boxed{5832} \) cubic inches.