Question

16 OT 26

Answer 1

Answer:

$Total = 166cm^2$

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:

$Area = 2LB + 2LH + 2BH$

Because the bottom part of the upper piece is not visible, the area is calculated as:

$Area = 2LB + 2LH + BH$

This gives:

$Area = 2 * 5*4 + 2 * 4 * 2 + 5 * 2$

$Area = 66$

For the bottom piece:

We calculate its area as $Area = 2LB + 2LH + 2BH$. However, the area of the invisible part will be subtracted.

So, we have:

$Area = 2*3*5 + 2*3*5 + 2*5*5 - 2*5$

$Area = 100$

The total surface area is:

$Total = 66 + 100$

$Total = 166cm^2$