What is the volume of a cube with an edge length of 6 cm?

• A. 36 cm³
• B. 72 cm³
• C. 216 cm³
• D. 144 cm³

Answer: (C)

To find the volume of a cube, you use the formula:

[ \text{Volume} = \text{side length}^3 ]

In this case, the edge length of the cube is given as 6 cm. Substituting this value into the formula gives:

[ \text{Volume} = 6 , \text{cm} \times 6 , \text{cm} \times 6 , \text{cm} = 6^3 ]

Calculating ( 6^3 ) gives:

[ 6^3 = 6 \times 6 \times 6 = 36 \times 6 = 216 , \text{cm}^3 ]

Thus, the volume of the cube is 216 cm³. This calculation confirms that the choice indicating 216 cm³ is correct, as it accurately reflects the volume derived from raising the edge length to the power of three. The other options do not correspond to the correct calculation steps or results for the volume of a cube with an edge length of 6 cm.