Chapter 11, Problem 12CCSR

To determine

Find the Surface area A from the options given in the question.

Answer to Problem 12CCSR

Option G is correct.

Explanation of Solution

Given:

Given the expression: $\text{s}\text{=}\sqrt{\frac{\text{A}}{\text{6}}}$

Concept Used:

Surface area of the cube is the sum of the areas of all faces or surfaces.

.Calculation:

Surface area of the cube from the expression given in the question:

  $\begin{array}{l}\text{s}\text{=}\sqrt{\frac{\text{A}}{\text{6}}}\\ $ {(\text{s})}^2={(\sqrt{\frac{\text{A}}{\text{6}}})}^2[\text{squaring}\text{both}\text{sides}]${\text{s}}^2=\frac{\text{A}}{6}\\ 6·{\text{s}}^2=6·\frac{\text{A}}{6}\\ \text{A}=6·{\text{s}}^2\end{array}$   $\begin{array}{l}\text{A}=6·{\text{s}}^2\\ \text{A}=6·{\text{10}}^2[\text{s}=10\text{cm}]\\ \text{A}=6·\text{100}\text{=}\text{600}{\text{cm}}^2\end{array}$

Thus, Surface area of the cube is 600 sq cm. Option G is correct.