Question

a cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet

Explanation:

Step1: Recall lateral area formula

A cube's lateral area $L = 4s^2$, where $s$ = side length.

Step2: Substitute given area value

$676 = 4s^2$

Step3: Solve for $s^2$

Divide both sides by 4: $\frac{676}{4} = s^2$ → $s^2 = 169$

Step4: Calculate side length

Take square root: $s = \sqrt{169} = 13$

Answer:

13 feet