Chapter 12, Problem 11MCQ

a.

To determine

To determine sketch of the tetrahedral.

Answer to Problem 11MCQ

  

Explanation of Solution

Given:

  $3$ centimeter each side

Sketch:

  

Conclusion:

Therefore, sketch of the tetrahedral is shown above.

b.

To determine

To determine total surface area of one shape.

Answer to Problem 11MCQ

  $36\sqrt{3}{\text{ centimeter}}^2$

Explanation of Solution

Given:

  $3$ centimeter each side

Formula used:

Total surface area of tetrahedral $=4\times \sqrt{3}sid{e}^2$

Calculation:

  $\Rightarrow$ Total surface area of tetrahedral $=\sqrt{3}\times {\left(3\right)}^2$

  $=4\times 9\sqrt{3}{\text{ centimeter}}^2$

  $=36\sqrt{3}{\text{ centimeter}}^2$

Conclusion:

Therefore, total surface area of one shape is $36\sqrt{3}{\text{ centimeter}}^2$ .