A cube has a volume of 27 cm³. What is the length of one side of the cube?

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Question: A cube has a volume of 27 cm³. What is the length of one side of the cube?

Options:

Correct Answer: 3 cm

Solution:

Side = ∛Volume = ∛27 = 3 cm.

A cube has a volume of 27 cm³. What is the length of one side of the cube?

A cube has a volume of 27 cm³. What is the length of one side of the cube?

Step 1: Understand that the volume of a cube is calculated using the formula Volume = Side × Side × Side (or Side³).
Step 2: We know the volume of the cube is 27 cm³.
Step 3: To find the length of one side of the cube, we need to find the cube root of the volume.
Step 4: Calculate the cube root of 27. This means we need to find a number that, when multiplied by itself three times, equals 27.
Step 5: The number that satisfies this is 3, because 3 × 3 × 3 = 27.
Step 6: 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 V is the volume and s is the length of one side.
Cube Root Calculation – To find the length of one side from the volume, you need to calculate the cube root of the volume.