Answer:
12
Step-by-step explanation:
Given expression:
[tex]\dfrac{1}{3}x^2[/tex]
To evaluate the given expression for x = 6, substitute x = 6 into the expression and simplify:
[tex]\begin{aligned}x=6 \implies \dfrac{1}{3}(6)^2 & = \dfrac{1}{3}(6 \cdot 6)\\\\& = \dfrac{1}{3}(36)\\\\& = \dfrac{36}{3}\\\\& = \dfrac{3 \cdot 12}{3}\\\\& = \dfrac{\diagup\!\!\!\!3 \cdot 12}{\diagup\!\!\!\!3}\\\\& = 12\end{aligned}[/tex]
