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)

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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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Please help me and explain the answer
lol your doing this on android ?

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Other answers:

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

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