If a cube has a side length of 3 units, what is its volume?

If a cube has a side length of 3 units, what is its volume?

• A. 9 cubic units
• B. 18 cubic units
• C. 27 cubic units
• D. 81 cubic units

Answer: (C)

To find the volume of a cube, you use the formula for volume, which is the side length raised to the third power (side length cubed). In this case, the cube has a side length of 3 units. To calculate the volume, you would compute: \[ \text{Volume} = \text{side length}^3 = 3^3 = 3 \times 3 \times 3 \] Calculating that gives: \[ 3 \times 3 = 9 \] Then multiplying that result by 3 again: \[ 9 \times 3 = 27 \] Thus, the volume of the cube is 27 cubic units. This matches the correct answer. The other options represent incorrect volumes resulting from either incorrect calculations or misunderstandings of the formula for a cube's volume. By confirming that the volume is found correctly through the cube's defined properties, you can see why 27 cubic units is indeed the right answer.

To find the volume of a cube, you use the formula for volume, which is the side length raised to the third power (side length cubed).

In this case, the cube has a side length of 3 units. To calculate the volume, you would compute:

[

\text{Volume} = \text{side length}^3 = 3^3 = 3 \times 3 \times 3

]

Calculating that gives:

[

3 \times 3 = 9

]

Then multiplying that result by 3 again:

[

9 \times 3 = 27

]

Thus, the volume of the cube is 27 cubic units. This matches the correct answer.

The other options represent incorrect volumes resulting from either incorrect calculations or misunderstandings of the formula for a cube's volume. By confirming that the volume is found correctly through the cube's defined properties, you can see why 27 cubic units is indeed the right answer.