Use the figure below to answer parts a and b.
Kelsey is making a paperweight as a birthday present for her dad. She cut a piece of wood in the shape of a rectangular prism.
a. Find the surface area of the prism using the formula SA = 2LW + 2WH + 2LH. Be sure you show all your work.
b. Suppose Kelsey wants to decorate the paperweight. What useful information does the surface area provide?
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Use the diagram to designate the measures of L, W, and H.
Let L = 7 and W = 6 and H = 2
Then, those values will be substituted into the given formula:
SA = 2LW + 2WH + 2LH
Okay, so far? Yes or No. Feel free to ask questions.
Surface area is the outside area of a prism. The wood is 7*6*2. What you need to do is find the area of all sides and add them together. 7*6=42. There's two sides with that area, so multiply by 2, and you get 84. 7*2=14, and there's two sides with that area, so multiply by 2 again and get 28. Now 6*2=12, times 2 again and it is 24. Now that you found the sides, add them together for the answer. 84+28+24 Don't forget to add the unit (in^2)
Thinking logically, the surface area indicates how much of something she can wrap around the paperweight or how much paint she can use, etc.