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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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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@Mertsj or anyone else lol
ok so the hight is 15? im confused sry

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ok so what would i write for Part A?
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
@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???
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)
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.
But ,they MUST be the same while the measure of the sides are the same, right? What is wrong with the first logic???
idk
the net is too bad. I am waiting for ganeshie8 or someone else check the mistake.
@mathmate please help with both questions!!! 5 medals i will give in some way :)
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"
\[\large h^2+12^2 = 15^2 \implies h = 9 \] |dw:1437540265309:dw|

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