Question

the volume of this cube is 125 cubic yards. what is the value of r?
r = \boxed{} yards
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Explanation:

Step1: Recall the volume formula for a cube

The volume \( V \) of a cube with side length \( r \) is given by the formula \( V = r^3 \).

Step2: Substitute the given volume into the formula

We know that the volume \( V = 125 \) cubic yards. So we set up the equation \( r^3 = 125 \).

Step3: Solve for \( r \)

To find \( r \), we take the cube root of both sides of the equation. The cube root of 125 is 5 because \( 5^3 = 5 \times 5 \times 5 = 125 \). So \( r=\sqrt[3]{125}=5 \).

Answer:

5