Answer:
[tex]Total = 166cm^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the surface area
The figure is made up of two cuboids and the surface area of a cuboid is:
[tex]Area = 2LB + 2LH + 2BH[/tex]
Because the bottom part of the upper piece is not visible, the area is calculated as:
[tex]Area = 2LB + 2LH + BH[/tex]
This gives:
[tex]Area = 2 * 5*4 + 2 * 4 * 2 + 5 * 2[/tex]
[tex]Area = 66[/tex]
For the bottom piece:
We calculate its area as [tex]Area = 2LB + 2LH + 2BH[/tex]. However, the area of the invisible part will be subtracted.
So, we have:
[tex]Area = 2*3*5 + 2*3*5 + 2*5*5 - 2*5[/tex]
[tex]Area = 100[/tex]
The total surface area is:
[tex]Total = 66 + 100[/tex]
[tex]Total = 166cm^2[/tex]
