Lisa glued two pieces of wood together to make the letter L in her art class. She plans to paint all sides of it purple, including the base.

The longer piece of wood has dimensions of 2 inches by 2 inches by 9 inches. The shorter piece of wood has dimensions of 3 inches by 2 inches by 2 inches. How many square inches of purple paint will Lisa use to paint her letter L?

Respuesta :

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