Question

b) area = 1024 cm² how do you know that the volume cube is a perfect cube? determin length of each cube.

Explanation:

Step1: Recall area formula for square

The area formula for a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length.

Step2: Solve for side - length

Given $A = 1024\ cm^{2}$, we solve the equation $s^{2}=1024$ for $s$. Taking the square - root of both sides, $s=\sqrt{1024}$. Since $32\times32 = 1024$, $s = 32\ cm$.

Answer:

The side - length of the square is $32\ cm$.