TA of longer piece = 2(lw) + 2(hw) + 2(lh)
2*1*1 +2*6*1 + 2*1*6
= 2 + 12 + 12 = 26
TA of shorter piece = 2(lw) + 2(hw) + 2(lh)
= 2*1*1 + 2*3*1 + 2*1*3
= 14
Add the two surface areas together.
26 + 14 = 40
Subtract the area where the two pieces of wood are attached.
Because that section will not be painted on either piece of wood,
two times that area must be subtracted.
40 - (2*1*1) = how many square inches of purple?
2x2, 2 ends
2x6, 4 sides
etc.
2x2x2 + 2x6x4 + 2x3x4