Question
This cube has a volume of 64 units
3
. Substitute the volume of the cube into the formula.
x
Area Label Arrow
V = 64 units
3
x
3
= V
x
3
=
3
. Substitute the volume of the cube into the formula.
x
Area Label Arrow
V = 64 units
3
x
3
= V
x
3
=
Answers
GPT-4o mini
To find the side length \( x \) of the cube given its volume \( V = 64 \) cubic units, we use the formula for the volume of a cube:
\[
V = x^3
\]
Substituting the given volume into the formula:
\[
64 = x^3
\]
To solve for \( x \), we need to take the cube root of both sides:
\[
x = \sqrt[3]{64}
\]
Since \( 64 = 4^3 \), we find that:
\[
x = 4
\]
Therefore, the side length of the cube is \( 4 \) units. If you needed to represent the equation in a more detailed step:
\[
x^3 = 64 \quad \Rightarrow \quad x = \sqrt[3]{64} \quad \Rightarrow \quad x = 4
\]
So, we have:
\[
x = 4
\]
\[
V = x^3
\]
Substituting the given volume into the formula:
\[
64 = x^3
\]
To solve for \( x \), we need to take the cube root of both sides:
\[
x = \sqrt[3]{64}
\]
Since \( 64 = 4^3 \), we find that:
\[
x = 4
\]
Therefore, the side length of the cube is \( 4 \) units. If you needed to represent the equation in a more detailed step:
\[
x^3 = 64 \quad \Rightarrow \quad x = \sqrt[3]{64} \quad \Rightarrow \quad x = 4
\]
So, we have:
\[
x = 4
\]