What is the volume of a cube with edge length 5?

What is the volume of a cube with edge length 5?

• A. 50
• B. 100
• C. 125
• D. 75

Answer: (C)

To find the volume of a cube, you use the formula: \[ \text{Volume} = \text{edge length}^3 \] In this case, the edge length of the cube is 5. Therefore, you calculate the volume as follows: \[ \text{Volume} = 5^3 = 5 \times 5 \times 5 \] Calculating that step-by-step: 1. \( 5 \times 5 = 25 \) 2. Then multiplying that by 5 again: \( 25 \times 5 = 125 \) So, the volume of the cube is 125 cubic units. This demonstrates why the chosen answer is indeed correct. The cube's volume grows quickly due to the cubic relationship between the edge length and the volume, which explains why 125 is distinctly greater than options that suggest much smaller volumes.

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

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

In this case, the edge length of the cube is 5. Therefore, you calculate the volume as follows:

[ \text{Volume} = 5^3 = 5 \times 5 \times 5 ]

Calculating that step-by-step:

1. ( 5 \times 5 = 25 )

2. Then multiplying that by 5 again: ( 25 \times 5 = 125 )

So, the volume of the cube is 125 cubic units. This demonstrates why the chosen answer is indeed correct. The cube's volume grows quickly due to the cubic relationship between the edge length and the volume, which explains why 125 is distinctly greater than options that suggest much smaller volumes.