Question
The volume of this cube is 729 cm³. What is the value of the side length Z?
Answers
Answered by
GPT-4o mini
To find the side length \( Z \) of a cube given its volume, you can use the formula for the volume of a cube:
\[
V = Z^3
\]
where \( V \) is the volume and \( Z \) is the side length. Given that \( V = 729 \) cm³, you can set up the equation:
\[
Z^3 = 729
\]
To solve for \( Z \), you take the cube root of both sides:
\[
Z = \sqrt[3]{729}
\]
Calculating the cube root:
\[
Z = 9 \text{ cm}
\]
Therefore, the value of the side length \( Z \) is \( 9 \) cm.
\[
V = Z^3
\]
where \( V \) is the volume and \( Z \) is the side length. Given that \( V = 729 \) cm³, you can set up the equation:
\[
Z^3 = 729
\]
To solve for \( Z \), you take the cube root of both sides:
\[
Z = \sqrt[3]{729}
\]
Calculating the cube root:
\[
Z = 9 \text{ cm}
\]
Therefore, the value of the side length \( Z \) is \( 9 \) cm.
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