A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

nuccioreggie

  • one year ago

A candy bar box is in the shape of a triangular prism. The volume of the box is 3,240 cubic centimeters. A triangular prism is shown with base of triangle labeled 24 cm, sides of the triangle labeled 15 cm, and length of the box equal to 30 cm. 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 this candy box? Explain how you got your answer. (5 points)

  • This Question is Closed
  1. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Please help me and explain the answer

  2. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino

  3. Here_to_Help15
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol your doing this on android ?

  4. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Lol yea lololl

  5. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino. Can you explain the answer

  6. alekos
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    VOLUME = 1/2 base x height x length

  7. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the area of the base of your prism, is the area of a triangle whose base and height are 24cm and 15 cm respectively. SO the area of the base of your prism is: A=(24*15)/2=...cm^2

  8. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So*

  9. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thats the answer for a and b ?

  10. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it is the first step for part A

  11. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Whats B?

  12. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok whats the next step for part A

  13. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is the base area? please continue my computation

  14. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok so wait is is 180^2cm ?? Right

  15. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok!

  16. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now we can write: volume = base area x height of prism so, we get: \[3240 = 180 \times H\] what is H?

  17. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    24cm

  18. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    are you sure? 24*180=4320

  19. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    15cm?

  20. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is: 3240/180=...?

  21. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    180 @Michele_Laino

  22. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @I ment its 18

  23. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok! So the height of your prism is H=18 cm

  24. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok so i have to do 180x18?

  25. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1433958517323:dw|

  26. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I got 3240 when i did 180×18=3240

  27. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok!

  28. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the area of the base of the prism, is the area of a triangle whose base and height is 24cm and 15 cm respectively. So the area of the base of the prism is: A=(24*15)/2= 180^2cm Ok so then now i can write: volume = base area x height of prism so, then i get: 3240=180×18=3240 Thats what i got so far is that correct

  29. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino. Can we do B now my friend

  30. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    for part B, we have to compute the area of total surface of your prism

  31. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok can you explain that answer for me so it will be faste and easier

  32. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we have two triangles, and the area of each triangle is 180 cm^2, so the base area of your prism is: 180*2=...

  33. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    please complete my computation

  34. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    360

  35. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok! Now the area of lateral surface is: base perimeter x height

  36. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1433959057271:dw|

  37. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So i have to do 15×24 now?

  38. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    in order to compute the base perimeter, we have to compute the sides of that triangle, first

  39. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1433959149838:dw|

  40. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Can u write it out for me i dont understand

  41. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    using the theorem of Pitagora, we can write: \[\Large AC = \sqrt {C{H^2} + A{H^2}} = \sqrt {{{15}^2} + {{12}^2}} = ...\]

  42. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Can you write the whole answer out for me for part B because. So i will understand much better

  43. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no, I can not give you the direct answer, since I have to respect the Code Of Conduct

  44. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Your not your EXPLAING THE ANSER TO ME SO I WILL UNDERSTAND MUCH BETTER

  45. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    please, what is AC? continue my computation

  46. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Idk

  47. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is: \[\Large \sqrt {{{15}^2} + {{12}^2}} = ...\]?

  48. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    4

  49. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    please use windows calculator

  50. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I cant

  51. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino. Explain the answer please

  52. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    use an online calculator then

  53. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    27

  54. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no, here is an online calculator: http://www.wolframalpha.com/

  55. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Im trying to tell u it dosnt work for me somthing is wrong with my computer

  56. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    159?

  57. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    here is the value of AC AC=19.21 cm so the base perimeter is: 19.21+24+19.21=...

  58. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    62.42

  59. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino

  60. nuccioreggie
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino. Its 62.42 is that right

  61. Michele_Laino
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok!: so the lateral surface is: 64.42* 18=...?

  62. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.