Question

Lisa glued two pieces of wood together to make the letter L in her art dass. She plans to paint all sides of it purple, including the base Note Figuren mot graduato sia The longer piece of wood has dimensions of 2 inches by 2 inches by 6 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? A 62 square inches 88 square inches C. 80 square inches 84 square inches I

Answer 1

We will determine the amount of paint she will need as follows:

*We determine the surface area of the larger section:

$A_1=2\cdot2\Rightarrow A_1=4$$A_2=2\cdot6\Rightarrow A_2=12$

So, the surface area [For the L shaped object] is:

$A_{s1}=2(A_1)+4(A_2)-A_1\Rightarrow A_{s1}=2(4)+4(12)-4$$\Rightarrow A_{s1}=52$

*We determine the surface area of the smallest section:

$A_3=2\cdot2\Rightarrow A_3=4$$A_4=2\cdot3\Rightarrow A_4=6$

So, the surface area [For the L shaped object] is:

$A_{s2}=2(A_3)+4(A_4)-4\Rightarrow A_{s2}=2(4)+4(6)-4$$\Rightarrow A_{s2}=28$

*We have that the surface area is:

$A_T=A_{s1}+A_{s2}\Rightarrow A_T=52+28\Rightarrow A_T=80$

So, the amount of purple paint she would need 80 squared inches.