180k views
2 votes
Where can I solve and get the total area of the surface ?

Where can I solve and get the total area of the surface ?-example-1

1 Answer

2 votes

In order to calculate the total surface area of this figure, let's consider the following views:

From above: 2 rectangles, one with dimensions 8 and 6 and one with dimensions 12 and 6.

From below: 1 rectangle with dimensions 20 and 6.

From the right: 2 rectangles, both with dimensions 6 and 4.

From the left: 1 rectangle with dimensions 6 and 8.

From the front and back: 2 composite figures, made by 2 rectangles each, one with dimensions 8 and 4 and one with dimensions 20 and 4.

So the total surface area is:


\begin{gathered} S=(8\cdot6+12\cdot6)+(20\cdot6)+2\cdot(6\cdot4)+(6\cdot8)+2\cdot(8\cdot4+20\cdot4) \\ S=120+120+48+48+224 \\ S=560\text{ cm}^2 \end{gathered}

Therefore the surface area of the figure is equal to 560 cm².

User Nelsw
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories