Question

16 OT 26

Find the surface area of the composite figure.
2 cm
5 cm
4 cm
4 cm
3 cm
3 cm
5 cm
5 cm
SA
[?] cm²
Enter

Answer 1

`Total = 166cm^2`

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`