To find the volume of a cube with a side length of 9 cm, follow these steps:
1. Understand the Formula: The volume [tex]\( V \)[/tex] of a cube can be determined using the formula:
[tex]\[
V = a^3
\][/tex]
where [tex]\( a \)[/tex] is the length of a side of the cube.
2. Substitute the Side Length: For this problem, the side length [tex]\( a \)[/tex] is given as 9 cm. Substitute [tex]\( 9 \)[/tex] for [tex]\( a \)[/tex] in the volume formula:
[tex]\[
V = 9^3
\][/tex]
3. Calculate the Volume: Raise 9 to the power of 3:
[tex]\[
9^3 = 9 \times 9 \times 9 = 729
\][/tex]
4. Write the Final Answer: Hence, the volume of the cube is:
[tex]\[
729 \, \text{cm}^3
\][/tex]
So, the volume of a cube with a side length of 9 cm is 729 cm³.
