Question

This cube has a volume of 8 units
3
. Substitute the volume of the cube into the formula.
A cube with a volume of 8 cubic units, with its edge length labeled as x.
x
3
= V
x
3
=

Answer 1

To find the edge length \( x \) of a cube given its volume, we use the formula for the volume of a cube:

\[
V = x^3
\]

where \( V \) is the volume and \( x \) is the length of one edge.

Given that the volume is \( 8 \) cubic units, we can substitute this into the formula:

\[
x^3 = 8
\]

To solve for \( x \), we take the cube root of both sides:

\[
x = \sqrt[3]{8}
\]

Calculating the cube root:

\[
x = 2
\]

Thus, the edge length \( x \) of the cube is \( 2 \) units.

To summarize:
- Substitute the volume into the formula:
\[
x^3 = 8
\]
- Solve for \( x \):
\[
x = 2
\]