anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
@Mertsj or anyone else lol
anonymous
  • anonymous
ok so the hight is 15? im confused sry

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anonymous
  • anonymous
@Loser66
anonymous
  • anonymous
ok so what would i write for Part A?
anonymous
  • anonymous
@Loser66
anonymous
  • anonymous
@Mertsj @Mertsj @Mertsj @Mertsj
Loser66
  • Loser66
That is the height of the triangle, not the height of the triangular prism. The height of the triangular prism is 30 I don't get it. Let's get help @ganeshie8
anonymous
  • anonymous
@ganeshie8
Loser66
  • Loser66
@ganeshie8 What is wrong with this? the height of the prism =30, the triangle base has the height (h_1)= 9 Volume of the prism is \(V= \dfrac{1}{2} Area_{base}*h= \dfrac{1}{2}*{\dfrac{1}{2}*24*9}*30= 1620\) But the given information gives us Volume of the prism is 3240 which is double with what I have. What is wrong with my calculation???
anonymous
  • anonymous
well do you think you could help with this one then? An image of a prism is shown below: A square prism is shown. Part A: A cross section of the prism is cut with a plane parallel to the base. What is the name of the shape created by the cross-section? (5 points) Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of the resulting cross section? (5 points)
Loser66
  • Loser66
If I go another way, I got right answer with taking the base is the rectangular Hence the Area of the rectangular is 24*30 = 720 \(V = (1/2) *720 *h= 3240\) hence h = 9.
Loser66
  • Loser66
But ,they MUST be the same while the measure of the sides are the same, right? What is wrong with the first logic???
anonymous
  • anonymous
idk
Loser66
  • Loser66
the net is too bad. I am waiting for ganeshie8 or someone else check the mistake.
Loser66
  • Loser66
@zzr0ck3r
anonymous
  • anonymous
@mathmate
anonymous
  • anonymous
@mathmate please help with both questions!!! 5 medals i will give in some way :)
ganeshie8
  • ganeshie8
for the main question, 30 is indeed the height of triangular prism as it is the distance between bases; the teacher who cooked up this problem seems to be careless, not honoring the usual terminology. he is wrongly using "height of prism" to refer to "height of base triangle"
ganeshie8
  • ganeshie8
\[\large h^2+12^2 = 15^2 \implies h = 9 \] |dw:1437540265309:dw|

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