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Faman39

  • 2 years ago

You are making poster board boundary markers in the shape of square pyramids for a relay race. If you are including a 12 -inch square as the bottom and you want the slant height to be 14 inches, how much poster board do you need? 252 in2 420 in2 480 in2 532 in2

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  1. Faman39
    • 2 years ago
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    @UnkleRhaukus can you able to help me ?

  2. UnkleRhaukus
    • 2 years ago
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    |dw:1352387741795:dw|

  3. Faman39
    • 2 years ago
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    I still cant get this, can you able go in bit detail ?

  4. UnkleRhaukus
    • 2 years ago
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    can you see how i flattened all the surfaces a plane?

  5. Faman39
    • 2 years ago
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    Yes

  6. UnkleRhaukus
    • 2 years ago
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    you have a square , and four big triangles,

  7. Faman39
    • 2 years ago
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    ok

  8. UnkleRhaukus
    • 2 years ago
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    the area of a square is the side length squared the area of a triangle is half of the base times the height

  9. Faman39
    • 2 years ago
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    Are we gonna....multiply 14 and 12?

  10. Faman39
    • 2 years ago
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    i am sorry i am totally talking wrong

  11. UnkleRhaukus
    • 2 years ago
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    yes the base of the triangles is 12 and they have a height of 14 , the area of each tringle is half these multiplied together

  12. Faman39
    • 2 years ago
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    but i got 168 ? :(

  13. UnkleRhaukus
    • 2 years ago
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    how?

  14. Faman39
    • 2 years ago
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    I do not know, probably i m doing wrong i know :(

  15. Faman39
    • 2 years ago
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    that must be for it

  16. UnkleRhaukus
    • 2 years ago
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    what did you get for the area of the square? and what did you get fo the area of each triangle ?

  17. Faman39
    • 2 years ago
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    i multiply 14 with 12 :(

  18. UnkleRhaukus
    • 2 years ago
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    the area of a triangle is HALF of the base times the height

  19. Faman39
    • 2 years ago
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    so half * 14 * 12

  20. UnkleRhaukus
    • 2 years ago
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    what do you get?

  21. Faman39
    • 2 years ago
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    84 :(

  22. UnkleRhaukus
    • 2 years ago
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    right so , one triangle is 84 in^2 what is the area of the square

  23. Faman39
    • 2 years ago
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    12?

  24. UnkleRhaukus
    • 2 years ago
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    the area of a square is the side length squared \[12^2=\]

  25. Faman39
    • 2 years ago
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    14 ?

  26. Faman39
    • 2 years ago
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    sorry about that

  27. UnkleRhaukus
    • 2 years ago
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    \[12^2=12\times12=\]

  28. Faman39
    • 2 years ago
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    144

  29. UnkleRhaukus
    • 2 years ago
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    right

  30. UnkleRhaukus
    • 2 years ago
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    the total area is made up of 4 triangles and one square ,

  31. Faman39
    • 2 years ago
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    So we divide 4 with 144 ?

  32. UnkleRhaukus
    • 2 years ago
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    add the area of the square to four times the area of the triangle

  33. Faman39
    • 2 years ago
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    Still not getting any correct point

  34. Faman39
    • 2 years ago
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    i am so sorry, i m horrible that i m getting wrong answer

  35. Faman39
    • 2 years ago
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    144 * 12 * 4 ?

  36. UnkleRhaukus
    • 2 years ago
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    \[A_{\text{square}}=12 [\text{in}]\times12 [\text{in}]=144 [\text{in}]^2\] \[A_{\text{triangle}}=\frac{14 [\text{in}]\times12 [\text{in}]}2=84 [\text{in}]^2\] \[SA_{\text{square pyramid}}=A_{\text{square}}\quad+\quad4\times A_{\text{triangle}}\]

  37. Faman39
    • 2 years ago
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    Thank you so so much @UnkleRhaukus, your so awesome and genius!!!!!

  38. Faman39
    • 2 years ago
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    thanks alot! And i m sorry for troubling :(

  39. Faman39
    • 2 years ago
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    i know, i m totally pain, cuz i barely understand thing

  40. UnkleRhaukus
    • 2 years ago
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    i hope it makes some sense now, can you tell me how much poster board do you need?

  41. Faman39
    • 2 years ago
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    480 in2

  42. UnkleRhaukus
    • 2 years ago
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    \[\color\red\checkmark\]

  43. Faman39
    • 2 years ago
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    Thank you so much @UnkleRhaukus !!! your too great!!!!!!

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