High School

Find the volume of a 13-inch cube.

A. 125 in [tex]$^3$[/tex]
B. 2,197 in [tex]$^2$[/tex]
C. 2,197 in [tex][tex]$^3$[/tex][/tex]
D. 5,453 in [tex]$^3$[/tex]

Answer :

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

[tex]\[ \text{Volume} = \text{side length}^3 \][/tex]

In this problem, the side length of the cube is given as 13 inches. To find the volume, you simply need to raise the side length to the power of 3:

[tex]\[ \text{Volume} = 13^3 \][/tex]

Now let's calculate:

1. [tex]\( 13 \times 13 = 169 \)[/tex]
2. [tex]\( 169 \times 13 = 2197 \)[/tex]

Therefore, the volume of the cube is 2,197 cubic inches. From the given options, the correct answer is:

2,197 in³