What is the volume of a cube that has a side length of 3?

What is the volume of a cube that has a side length of 3?

• A. 9
• B. 27
• C. 36
• D. 12

Answer: (B)

The volume of a cube is calculated using the formula \( V = s^3 \), where \( s \) is the length of one side of the cube. In this case, the side length is 3. To find the volume, you would raise the side length to the power of 3: \[ V = 3^3 = 3 \times 3 \times 3 = 27. \] Thus, when a cube has a side length of 3, its volume is indeed 27 cubic units. This demonstrates the application of exponentiation in calculating volume, which is integral in geometry when dealing with three-dimensional shapes.

The volume of a cube is calculated using the formula ( V = s^3 ), where ( s ) is the length of one side of the cube. In this case, the side length is 3.

To find the volume, you would raise the side length to the power of 3:

[

V = 3^3 = 3 \times 3 \times 3 = 27.

]

Thus, when a cube has a side length of 3, its volume is indeed 27 cubic units. This demonstrates the application of exponentiation in calculating volume, which is integral in geometry when dealing with three-dimensional shapes.