Answer :
To find the volume of a cube when its sides are 4 inches long, here's the step-by-step process:
1. Identify the formula for the volume of a cube: The volume [tex]\( V \)[/tex] of a cube can be calculated using the formula:
[tex]\[
V = \text{side}^3
\][/tex]
where "side" is the length of one side of the cube.
2. Substitute the given side length into the formula: In this case, each side of the cube is 4 inches long. Substitute 4 into the formula:
[tex]\[
V = 4^3
\][/tex]
3. Calculate the power: Raise 4 to the power of 3:
[tex]\[
4^3 = 4 \times 4 \times 4 = 16 \times 4 = 64
\][/tex]
4. State the resulting volume: The volume of the cube is 64 cubic inches.
So, the volume of the cube is [tex]\( 64 \, \text{in}^3 \)[/tex].
1. Identify the formula for the volume of a cube: The volume [tex]\( V \)[/tex] of a cube can be calculated using the formula:
[tex]\[
V = \text{side}^3
\][/tex]
where "side" is the length of one side of the cube.
2. Substitute the given side length into the formula: In this case, each side of the cube is 4 inches long. Substitute 4 into the formula:
[tex]\[
V = 4^3
\][/tex]
3. Calculate the power: Raise 4 to the power of 3:
[tex]\[
4^3 = 4 \times 4 \times 4 = 16 \times 4 = 64
\][/tex]
4. State the resulting volume: The volume of the cube is 64 cubic inches.
So, the volume of the cube is [tex]\( 64 \, \text{in}^3 \)[/tex].
