Students in Mr. Grattan’s class were asked to write code that would calculate the surface area of this rectangular prism.
Help them convert their strategies into algebraic expressions and code, and double check that each strategy works.

rectangular prism with dimensions labeled: a,b,c

1 Della says, "Just find the area of the top, bottom, left, right, front and back and add them all together!" Will it work?

  • Algebraic Expression: 𝐴𝐵 + 𝐴𝐵 + 𝐵𝐶 + 𝐵𝐶 + 𝐴𝐶 + 𝐴𝐶 = 2𝐴𝐵 + 2𝐵𝐶 + 2𝐴𝐶}

  • Code:

2 Orion says, "Just find the area of the front, top and right faces, add them together, and double the sum." Will it work?

  • Algebraic Expression:

  • Code:

3 Jules says, "Double the area of the front, double the area of the top, double the area of the side. Then add them up." Will it work?

  • Algebraic Expression:

  • Code:

4 Tate says, "Just multiply the length times the width times the height and double their product." Will it work?

  • Algebraic Expression:

  • Code:

5 Can you think of one other way to find the surface area of the prism?

  • Description:

  • Algebraic Expression:

  • Code:

6 Whose strategy do you like best?
Why?

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