Question

a cube has a lateral area of 9 square centimeters. what is the length of each edge of the cube?
1.5 cm
1.5 cm²
2.25 cm
2.25 cm²

Explanation:

Step1: Recall lateral area formula

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

Step2: Substitute given area

$9 = 4s^2$

Step3: Solve for $s^2$

$s^2 = \frac{9}{4} = 2.25$

Step4: Calculate edge length

$s = \sqrt{2.25} = 1.5$ cm

Answer:

1.5 cm