If a cube's volume is 27 cm³, what is the length of one side?

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Question: If a cube\'s volume is 27 cm³, what is the length of one side?

Options:

Correct Answer: 3 cm

Solution:

The side length is the cube root of the volume. Thus, side = ³√27 = 3 cm.

If a cube's volume is 27 cm³, what is the length of one side?

If a cube's volume is 27 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: We know the volume of the cube is 27 cm³.
Step 3: To find the length of one side, we need to find the cube root of the volume (27 cm³).
Step 4: The cube root of a number is a value that, when multiplied by itself three times, gives that number.
Step 5: Calculate the cube root of 27. This means finding a number that, when multiplied by itself three times, equals 27.
Step 6: The number 3 works because 3 × 3 × 3 = 27.
Step 7: Therefore, the length of one side of the cube is 3 cm.

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