What is the volume of a cube with side length 3 cm?

• A. 9 cm³
• B. 18 cm³
• C. 27 cm³
• D. 30 cm³

Answer: (C)

To find the volume of a cube, you can use the formula ( V = s^3 ), where ( V ) is the volume and ( s ) is the length of one side.

In this case, the side length of the cube is 3 cm. Plugging this value into the formula gives:

[

V = 3^3 = 3 \times 3 \times 3 = 27 \text{ cm}³

]

Therefore, the volume of the cube is indeed 27 cm³.

Understanding the cube's volume formula is essential because the volume reflects how much space is contained within the cube's boundaries. Since the side length is multiplied by itself three times, it highlights the three-dimensional nature of a cube—its length, width, and height are all equivalent, leading to the same side length being utilized in all three dimensions to calculate the total volume.