To determine the volume of a cube, we use the formula:
[tex]\[ \text{Volume} = \text{side length}^3 \][/tex]
Given that the side length of the cube is 9 inches, we can find the volume by raising 9 to the power of 3.
[tex]\[
9^3 = 9 \times 9 \times 9
\][/tex]
Calculating this step-by-step:
[tex]\[
9 \times 9 = 81
\][/tex]
[tex]\[
81 \times 9 = 729
\][/tex]
Thus, the volume of the cube is 729 cubic inches.
From the provided options, the correct answer is:
b. 729 in³