To determine the volume of a 9-inch cube, we need to use the formula for the volume of a cube, which is given by:
[tex]\[ V = \text{side length}^3 \][/tex]
Here, the side length of the cube is 9 inches. Therefore,
[tex]\[ V = 9^3 \][/tex]
Calculating [tex]\( 9^3 \)[/tex], we get:
[tex]\[
9^3 = 9 \times 9 \times 9 = 81 \times 9 = 729
\][/tex]
Therefore, the volume of the cube is 729 cubic inches.
Now, let's look at the given options:
a. [tex]\( 243 \, \text{yd}^3 \)[/tex]
b. [tex]\( 729 \, \text{in}^3 \)[/tex]
c. [tex]\( 818 \, \text{in}^2 \)[/tex]
d. [tex]\( 1,243 \, \text{in}^3 \)[/tex]
The correct answer is:
[tex]\[ \boxed{729 \, \text{in}^3} \][/tex]
