Question

The volume of this cube is 729 cubic centimeters. What is the value of z?

Answer 1

To find the value of \( z \) given that the volume of a cube is 729 cubic centimeters, we can use the formula for the volume of a cube:

\[
V = s^3
\]

where \( V \) is the volume and \( s \) is the length of one side of the cube.

Given that the volume \( V = 729 \) cm³, we can set up the equation:

\[
s^3 = 729
\]

To find the side length \( s \), we need to take the cube root of both sides:

\[
s = \sqrt[3]{729}
\]

Now, we calculate the cube root of 729. We know that:

\[
9 \times 9 \times 9 = 729
\]

Thus,

\[
\sqrt[3]{729} = 9
\]

Therefore, the length of one side of the cube \( s = 9 \) cm.

If we assume "the value of z" refers to the length of the side of the cube, then:

\[
z = 9
\]

If \( z \) has a different meaning in your context, please provide more details. But based on the current information, \( z = 9 \) cm.