Question

How do I find the surface area of the figure?
Thank you.

Answer 1

It's the sum of areas of:
two identical trapezoids
`A_1=\frac{a+b}2\cdot h`
a=6+8=14 in.
b=6 in.
h=6 in.
and rectangle
`A_2=w\cdot l`

`w=2\frac12 in. \\l=6+6+6+8+10 = 36 in.`


`A=2A_1+A_2=2\cdot\frac{a+b}2\cdot h+w\cdot l=(a+b)\cdot h+w\cdot l\\\\A=(14+6)\cdot 6+2\frac12\cdot 36= 120+90=210in.^2=1354.836cm^2\approx1355cm^2`