Answer:
[tex]V = \frac{2}{3} cm^2[/tex]
Step-by-step explanation:
Given
[tex]V = 6s^2[/tex]
Required
Find the surface area when the length is [tex]\frac{1}{3}\ cm[/tex]
To do this, we simply substitute [tex]\frac{1}{3}\ cm[/tex] for s in the given formula
[tex]V = 6s^2[/tex] becomes
[tex]V = 6 * \frac{1}{3}^2[/tex]
[tex]V = 6 * \frac{1}{3} * \frac{1}{3}[/tex]
Combine Fractions
[tex]V = \frac{6 * 1 * 1}{3 * 3}[/tex]
[tex]V = \frac{6}{9}[/tex]
Simplify Fraction
[tex]V = \frac{2}{3} cm^2[/tex]
