Identify the surface area of the composite figure.
Please explain it step-by-step.
![Identify the surface area of the composite figurePlease explain it stepbystep class=](https://us-static.z-dn.net/files/d5b/df353d9969b8bb0fa2e2f7672eca2453.png)
Answer:
128 square meters
Step-by-step explanation:
Surface Area is sum of the area of all the surfaces.
In the bottom portion, There are 5 squares (each 4 * 4 dimension) -- front, back, 2 sides, and bottom.
The area of 5 of these are:
5 * (4 * 4) = 80
In the top portion, there are 4 triangles each with dimensions height = 6 and length = 4, so the area of triangle is 1/2 * length * height. Hence, the area of 4 of these are:
4 * ( 1/2 * length * height = 1/2 * 4 * 6 = 12)
= 4 * 12
= 48
Hence total surface area = 80 + 48 = 128 square meters.