If a cube's volume is 125 cm³, what is the length of one side?

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Question: If a cube\'s volume is 125 cm³, what is the length of one side?

Options:

Correct Answer: 5 cm

Solution:

The side length of a cube can be found by taking the cube root of the volume. The cube root of 125 cm³ is 5 cm.

If a cube's volume is 125 cm³, what is the length of one side?

If a cube's volume is 125 cm³, what is the length of one side?

Step 1: Understand that the volume of a cube is calculated by multiplying the length of one side by itself three times (side × side × side).
Step 2: Write the formula for the volume of a cube: Volume = side³.
Step 3: We know the volume is 125 cm³, so we can set up the equation: side³ = 125 cm³.
Step 4: To find the length of one side, we need to find the cube root of 125 cm³.
Step 5: The cube root of 125 is the number that, when multiplied by itself three times, equals 125.
Step 6: Calculate the cube root of 125, which is 5.
Step 7: Therefore, the length of one side of the cube is 5 cm.

Volume of a Cube – The volume of a cube is calculated using the formula V = s³, where V is the volume and s is the length of one side.
Cube Root – To find the side length from the volume, the cube root of the volume must be calculated.