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RainbowUnicorn2025 RainbowUnicorn2025
  • 21-02-2016
  • Mathematics
Answered

How do I find the surface area of the figure?

Thank you.

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

Verified Answer :

unicorn3125
unicorn3125 unicorn3125
  • 21-02-2016

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 \(A_2=w\cdot l\)
\(w=2\frac12 in. \\l=6+6+6+8+10 = 36 in.\)

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

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