Question

Question 15 of 30 1 cm -- 2 cm 1 i 3 cm 1 cm 4 cm 4 cm Find the surface area of the above solid.

Answer 1

The surface area of the above solid​ is 54 cm^2

Explanation:

The total surface area of the figure is equal to the sum of the area of all the faces.

In this case it is best to divide the figure in two, as follows:

The total surface area would be the sum of both surface areas.

The surface area of part A would be:

`\begin{gathered} SA_A=2\cdot l\cdot w+2\cdot l\cdot h+2\cdot w\cdot h \\ \text{ Replacing} \\ SA_A=2\cdot3\cdot4+2\cdot3\cdot1+2\cdot4\cdot1 \\ SA_A=24+6+8 \\ SA_A=38 \end{gathered}`

The surface area of part B would be:

`\begin{gathered} SA_B=2\cdot1\cdot4+2\cdot1\cdot2+2\cdot1\cdot2 \\ SA_B=8+4+4 \\ SA_B=16 \end{gathered}`

The area of the figure would then be the sum of both areas, like this:

`\begin{gathered} SA=SA_A+SA_(VB) \\ SA=38+16 \\ SA=54 \end{gathered}`