Calculate Cube Volume: Finding Volume When Side Length is 2X

Question

What is the volume of a cube with sides measuring 2X?

2X2X2X

Video Solution

Solution Steps

00:00 Express the volume of the cube
00:03 We'll use the formula for calculating cube volume (edge length cubed)
00:07 We'll substitute appropriate values and solve for the volume
00:10 We'll raise each factor to the power and calculate
00:13 And this is the solution to the question

Step-by-Step Solution

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

V=side3 V = \text{side}^3

Here, the side length of the cube is given as 2X2X. Substituting this into the formula gives:

V=(2X)3 V = (2X)^3

To expand this expression, apply the cube to every part of the expression:

V=23×X3 V = 2^3 \times X^3

V=8×X3 V = 8 \times X^3

Thus, the volume of the cube is:

V=8X3 V = 8X^3

Therefore, the correct answer is:

8X3 8X^3

Thus, the solution to the problem is 8x3 8x^3 .

Answer

8x3 8x^3