A cube and a cuboid have the same volume of 27 cm³. What is the side length of t

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Question: A cube and a cuboid have the same volume of 27 cm³. What is the side length of the cube?

Options:

Correct Answer: 3 cm

Solution:

The volume of a cube is side³. Therefore, side = ³√27 = 3 cm.

A cube and a cuboid have the same volume of 27 cm³. What is the side length of the cube?

A cube and a cuboid have the same volume of 27 cm³. What is the side length of the cube?

Step 1: Understand that a cube has all sides of equal length.
Step 2: Know that the volume of a cube is calculated by multiplying the length of one side by itself three times (side × side × side), which is also written as side³.
Step 3: We are given that the volume of the cube is 27 cm³.
Step 4: Set up the equation: side³ = 27 cm³.
Step 5: To find the length of one side, we need to take the cube root of 27.
Step 6: Calculate the cube root of 27, which is the number that, when multiplied by itself three times, equals 27.
Step 7: The cube root of 27 is 3, because 3 × 3 × 3 = 27.
Step 8: Therefore, the side length of the cube is 3 cm.

Volume of a Cube – The volume of a cube is calculated using the formula V = side³, where 'side' is the length of one edge of the cube.
Cube Root – Finding the cube root is essential to determine the side length from the volume, as it involves reversing the exponentiation.