Question

the formula for the volume of a cube is $v = x^3$, where $x$ is the edge length of the cube. complete the table.

edge length ($x$)	1	2	3

(there is also a cube diagram with $x = 3$)

Explanation:

Step1: Recall the volume formula for a cube

The volume \( V \) of a cube with edge length \( x \) is given by \( V = x^3 \). We need to find the volume when \( x = 3 \).

Step2: Substitute \( x = 3 \) into the formula

Substitute \( x = 3 \) into \( V = x^3 \), so we calculate \( 3^3 \).
\( 3^3 = 3\times3\times3 = 27 \)

Answer:

When the edge length \( x = 3 \), the volume \( V = 27 \). So the completed table (for \( x = 3 \)) has a volume of 27.