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muscrat123

  • one year ago

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters. Part A: What is the height of the box? Show your work. (5 points) Part B: What is the approximate amount of cardboard used to make the sides of the candy box? Explain how you got your answer. (5 points)

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  1. ganeshie8
    • one year ago
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    picture?

  2. muscrat123
    • one year ago
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  3. muscrat123
    • one year ago
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    @ganeshie8

  4. ganeshie8
    • one year ago
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    that picture doesn't look right, height is already there in the picture

  5. muscrat123
    • one year ago
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    i copied it directly from the page. which number is the height? i thought the same but wanted to make sure

  6. ganeshie8
    • one year ago
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    height = distance between triangular bases

  7. muscrat123
    • one year ago
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    but which number is it? there are 2 numbers next to the height

  8. muscrat123
    • one year ago
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    nm. its 13 right?

  9. ganeshie8
    • one year ago
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    |dw:1436232499596:dw|

  10. ganeshie8
    • one year ago
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    distance between the triangular bases is 20cm right

  11. muscrat123
    • one year ago
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    is that the height of the box?

  12. muscrat123
    • one year ago
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    i thought that was the length

  13. ganeshie8
    • one year ago
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    Yes thats the height of the box

  14. jim_thompson5910
    • one year ago
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    |dw:1436232791136:dw|

  15. jim_thompson5910
    • one year ago
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    I think they want they want the length of this segment here |dw:1436232861596:dw|

  16. ganeshie8
    • one year ago
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    thats the height of base, not box

  17. jim_thompson5910
    • one year ago
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    if so, then focus on this triangle |dw:1436232912171:dw| imagine looking directly at this triangle |dw:1436232983737:dw|

  18. jim_thompson5910
    • one year ago
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    |dw:1436233051396:dw|

  19. muscrat123
    • one year ago
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    is it 12?

  20. jim_thompson5910
    • one year ago
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    yeah because we have a 5-12-13 right triangle |dw:1436233124402:dw|

  21. jim_thompson5910
    • one year ago
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    that is of course, assuming that's what they meant by "height"

  22. muscrat123
    • one year ago
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    so it Is 12?

  23. jim_thompson5910
    • one year ago
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    yeah

  24. muscrat123
    • one year ago
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    thx. but i dont understand part b

  25. jim_thompson5910
    • one year ago
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    you have 3 lateral sides Right face |dw:1436233275185:dw|

  26. jim_thompson5910
    • one year ago
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    left face (hidden) |dw:1436233294238:dw|

  27. jim_thompson5910
    • one year ago
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    and the bottom face (also hidden) |dw:1436233324795:dw|

  28. jim_thompson5910
    • one year ago
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    they are the lateral faces

  29. jim_thompson5910
    • one year ago
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    find the area of each lateral face, then add up the areas

  30. muscrat123
    • one year ago
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    how would i find the area of the lateral faces?

  31. jim_thompson5910
    • one year ago
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    each is a rectangle

  32. jim_thompson5910
    • one year ago
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    for instance, the bottom face is a 10 by 20 rectangle

  33. muscrat123
    • one year ago
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    thats 200

  34. jim_thompson5910
    • one year ago
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    |dw:1436233428096:dw|

  35. jim_thompson5910
    • one year ago
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    do the same for the other rectangles

  36. jim_thompson5910
    • one year ago
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    also, don't forget about the triangles as well

  37. muscrat123
    • one year ago
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    how did we get 12 again?

  38. muscrat123
    • one year ago
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    for part a

  39. jim_thompson5910
    • one year ago
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    did you randomly guess 12?

  40. jim_thompson5910
    • one year ago
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    you were the first one to write it

  41. muscrat123
    • one year ago
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    no. i did some random equations and it sounded right to me

  42. jim_thompson5910
    • one year ago
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    |dw:1436233600130:dw|

  43. jim_thompson5910
    • one year ago
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    That's the pythagorean theorem

  44. muscrat123
    • one year ago
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    ok. thx.

  45. jim_thompson5910
    • one year ago
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    np

  46. muscrat123
    • one year ago
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    for part b it says approximate though. do we have to round?

  47. muscrat123
    • one year ago
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    if we dont round, i got 850 for part b

  48. jim_thompson5910
    • one year ago
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    not always approximate just means that it's some decimal that usually goes on forever example: 1/7 = 0.14285714285714 the "142857" repeats forever over and over. So one approximation of 1/7 is 0.14286. Another approximation is 0.1429

  49. jim_thompson5910
    • one year ago
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    so yeah I guess in a way, you are rounding

  50. muscrat123
    • one year ago
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    is 850 correct?

  51. jim_thompson5910
    • one year ago
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    close but no

  52. muscrat123
    • one year ago
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    what is it?

  53. jim_thompson5910
    • one year ago
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    how did you get 850? can you show your work?

  54. muscrat123
    • one year ago
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    yes. hold on a sec

  55. muscrat123
    • one year ago
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    |dw:1436234036932:dw|

  56. muscrat123
    • one year ago
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    @jim_thompson5910

  57. jim_thompson5910
    • one year ago
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    the triangle portion is where you made an error

  58. jim_thompson5910
    • one year ago
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    each triangle has a base of 10 and height of 12

  59. muscrat123
    • one year ago
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    oh right!!! i forgot about that part. hold on so i can fix it.

  60. muscrat123
    • one year ago
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    840 is the correct answer

  61. jim_thompson5910
    • one year ago
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    yep, 840 square cm

  62. muscrat123
    • one year ago
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    thx!!!

  63. jim_thompson5910
    • one year ago
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    sure thing

  64. muscrat123
    • one year ago
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    is it squared or cubed?

  65. jim_thompson5910
    • one year ago
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    surface area deals with square units (not cubic units)

  66. muscrat123
    • one year ago
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    ok thx

  67. jim_thompson5910
    • one year ago
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    yw

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