Question

1. the volume of a 9-inch cube is ______. teks 2a

a. 729² in.
b. 729 in.
c. 729³ in.
d. 27 sq ft

Explanation:

Step1: Recall the formula for the volume of a cube

The volume \( V \) of a cube with side length \( s \) is given by the formula \( V = s^3 \).

Step2: Substitute the side length into the formula

Here, the side length \( s = 9 \) inches. So we calculate \( V = 9^3 \) cubic inches.

Step3: Calculate \( 9^3 \)

\( 9^3 = 9\times9\times9 = 81\times9 = 729 \). So the volume is \( 729 \) cubic inches (or \( 729 \) in.³, but in the options, it's written as \( 729 \) in. with the understanding of cubic inches for volume of a cube).

Answer:

b. 729 in.