Questions: Side length: square m

Transcript text: Side length: $\square$ $m$

Solution

Step 1: Identify the given information

The volume of the cube is given as $ V = 64 \, \text{m}^3 $.

Step 2: Recall the formula for the volume of a cube

The volume $ V $ of a cube with side length $ s $ is given by the formula: \[ V = s^3 \]

Step 3: Set up the equation

Using the given volume, set up the equation: \[ 64 = s^3 \]

Step 4: Solve for the side length $ s $

To find $ s $, take the cube root of both sides of the equation: \[ s = \sqrt[3]{64} \]

Step 5: Calculate the cube root

Calculate the cube root of 64: \[ s = 4 \]

The side length of the cube is $ 4 \, \text{m} $.

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