Question

The volume of a cube with side 6 cm is:

• A. 108 cm³
• B. 144 cm³
• C. 180 cm³
• D. 216 cm³

Hint:

Memorizing perfect cube integer values from $1^3$ up to $10^3$ is a great way to solve mensuration and geometry problems quickly during exams! Here, knowing $6^3 = 216$ gives you the answer instantly.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
A cube is a three-dimensional geometric shape with six faces that are all identical squares. Because all of its edges are equal in length, its volume (the total 3D space contained within its boundaries) is calculated by multiplying its side length three times.

Step 2: Key Formula or Approach:
The formula for the volume ($V$) of a cube with a side length of $a$ is: $$V = a^3 = a \times a \times a$$

Step 3: Detailed Explanation:
From the problem description, we are given: $\text{Side length of the cube } (a) = 6 \text{ cm}$ Substitute this value into the volume formula: \[ V = 6^3 \] \[ V = 6 \times 6 \times 6 \] Calculate the step-by-step products: \[ 6 \times 6 = 36 \] \[ V = 36 \times 6 = 216 \] Since the measurements are in centimeters, the final volume is expressed in cubic centimeters ($\text{cm}^3$). Thus, the volume is $216\text{ cm}^3$.

Step 4: Final Answer:
The volume of the cube is 216 cm³.