Question

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)

Answer 1

@Mertsj or anyone else lol

Answer 2

ok so the hight is 15? im confused sry

Answer 3

@Loser66

Answer 4

ok so what would i write for Part A?

Answer 5

@Loser66

Answer 6

@Mertsj @Mertsj @Mertsj @Mertsj

Answer 7

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

Answer 8

@ganeshie8

Answer 9

@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???

Answer 10

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)

Answer 11

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.

Answer 12

But ,they MUST be the same while the measure of the sides are the same, right? What is wrong with the first logic???

Answer 13

idk

Answer 14

the net is too bad. I am waiting for ganeshie8 or someone else check the mistake.

Answer 15

@zzr0ck3r

Answer 16

@mathmate

Answer 17

@mathmate please help with both questions!!! 5 medals i will give in some way :)

Answer 18

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"

Answer 19

\[\large h^2+12^2 = 15^2 \implies h = 9 \]