nuccioreggie
  • nuccioreggie
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)
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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nuccioreggie
  • nuccioreggie
Please help me and explain the answer
nuccioreggie
  • nuccioreggie
@Michele_Laino
Here_to_Help15
  • Here_to_Help15
lol your doing this on android ?

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nuccioreggie
  • nuccioreggie
Lol yea lololl
nuccioreggie
  • nuccioreggie
@Michele_Laino. Can you explain the answer
alekos
  • alekos
VOLUME = 1/2 base x height x length
Michele_Laino
  • Michele_Laino
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
Michele_Laino
  • Michele_Laino
So*
nuccioreggie
  • nuccioreggie
Thats the answer for a and b ?
Michele_Laino
  • Michele_Laino
it is the first step for part A
nuccioreggie
  • nuccioreggie
Whats B?
nuccioreggie
  • nuccioreggie
Ok whats the next step for part A
Michele_Laino
  • Michele_Laino
what is the base area? please continue my computation
nuccioreggie
  • nuccioreggie
Ok so wait is is 180^2cm ?? Right
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
now we can write: volume = base area x height of prism so, we get: \[3240 = 180 \times H\] what is H?
nuccioreggie
  • nuccioreggie
24cm
Michele_Laino
  • Michele_Laino
are you sure? 24*180=4320
nuccioreggie
  • nuccioreggie
15cm?
Michele_Laino
  • Michele_Laino
what is: 3240/180=...?
nuccioreggie
  • nuccioreggie
180 @Michele_Laino
nuccioreggie
  • nuccioreggie
@I ment its 18
Michele_Laino
  • Michele_Laino
ok! So the height of your prism is H=18 cm
nuccioreggie
  • nuccioreggie
Ok so i have to do 180x18?
Michele_Laino
  • Michele_Laino
|dw:1433958517323:dw|
nuccioreggie
  • nuccioreggie
I got 3240 when i did 180×18=3240
Michele_Laino
  • Michele_Laino
ok!
nuccioreggie
  • nuccioreggie
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
nuccioreggie
  • nuccioreggie
@Michele_Laino. Can we do B now my friend
Michele_Laino
  • Michele_Laino
for part B, we have to compute the area of total surface of your prism
nuccioreggie
  • nuccioreggie
Ok can you explain that answer for me so it will be faste and easier
Michele_Laino
  • Michele_Laino
we have two triangles, and the area of each triangle is 180 cm^2, so the base area of your prism is: 180*2=...
Michele_Laino
  • Michele_Laino
please complete my computation
nuccioreggie
  • nuccioreggie
360
Michele_Laino
  • Michele_Laino
ok! Now the area of lateral surface is: base perimeter x height
Michele_Laino
  • Michele_Laino
|dw:1433959057271:dw|
nuccioreggie
  • nuccioreggie
So i have to do 15×24 now?
Michele_Laino
  • Michele_Laino
in order to compute the base perimeter, we have to compute the sides of that triangle, first
Michele_Laino
  • Michele_Laino
|dw:1433959149838:dw|
nuccioreggie
  • nuccioreggie
Can u write it out for me i dont understand
Michele_Laino
  • Michele_Laino
using the theorem of Pitagora, we can write: \[\Large AC = \sqrt {C{H^2} + A{H^2}} = \sqrt {{{15}^2} + {{12}^2}} = ...\]
nuccioreggie
  • nuccioreggie
Can you write the whole answer out for me for part B because. So i will understand much better
Michele_Laino
  • Michele_Laino
no, I can not give you the direct answer, since I have to respect the Code Of Conduct
nuccioreggie
  • nuccioreggie
Your not your EXPLAING THE ANSER TO ME SO I WILL UNDERSTAND MUCH BETTER
Michele_Laino
  • Michele_Laino
please, what is AC? continue my computation
nuccioreggie
  • nuccioreggie
Idk
Michele_Laino
  • Michele_Laino
what is: \[\Large \sqrt {{{15}^2} + {{12}^2}} = ...\]?
nuccioreggie
  • nuccioreggie
4
Michele_Laino
  • Michele_Laino
please use windows calculator
nuccioreggie
  • nuccioreggie
I cant
nuccioreggie
  • nuccioreggie
@Michele_Laino. Explain the answer please
Michele_Laino
  • Michele_Laino
use an online calculator then
nuccioreggie
  • nuccioreggie
27
Michele_Laino
  • Michele_Laino
no, here is an online calculator: http://www.wolframalpha.com/
nuccioreggie
  • nuccioreggie
Im trying to tell u it dosnt work for me somthing is wrong with my computer
nuccioreggie
  • nuccioreggie
159?
Michele_Laino
  • Michele_Laino
here is the value of AC AC=19.21 cm so the base perimeter is: 19.21+24+19.21=...
nuccioreggie
  • nuccioreggie
62.42
nuccioreggie
  • nuccioreggie
@Michele_Laino
nuccioreggie
  • nuccioreggie
@Michele_Laino. Its 62.42 is that right
Michele_Laino
  • Michele_Laino
ok!: so the lateral surface is: 64.42* 18=...?

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