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A candy bar box is in the shape of a triangular prism. The volume of the box is 2,400 cubic centimeters.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 the sides of the candy box? Explain how you got your answer. (5 points)

Mathematics
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Hello, do you have a diagram you can show me for this question?
First of all, the formula for volume is: volume = base * height
So, using that equation, we can't solve for the height, since there are still 2 variables that we don't have values for.

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Other answers:

1 Attachment
this should help: http://www.mathwarehouse.com/solid-geometry/triangular-prism/images/triangular-prism-image-labelled.jpg
in this case the height is 20 because it's shown on the prism
wouldn't the height be seventeen if in the link you showed me "a" is the height? @ab854
No, for the link i gave you, "a" and "c" are both used to find the area of the trianlge, otherwise known as the Base of the prism
a would be the height of the triangle
ohh okay. So 16 would be the base of the box and 20 would be the height? @ab854
Actually, the height here is not shown. What we know from the question is: Volume= 2,400 cubic centimeters. Base= 16 cm. Length = 20 cm. We are looking for the height. To solve for the height let's rearrange the formula in terms of H. So it will look like this: V = 1/2(B*L*H)
so it would be 1/2(16*20*H) But we don't know the height. @Zenshiru
I'm working on a little picture, give me one moment. My crop tool is acting up.
okay
Alright, so using what I just said, you're able to rearrange your equation, and it should look something like this. You should be able to plug your given values into this.
so the height is fifteen?
Yep! The height of that figure is 15 cm.
okay thanks. I think I know what to do. Wouldn't you just find the circumference of the whole box?
I think it means all sides.
I found the lateral surface area. It's 795 cm
okay thank you for your help @Zenshiru ! is there anyone you know that can help me with part two?
Thank you so much!
|dw:1442700685039:dw|
surface are=120*2+2*20*17+20*16=240+680+320=1240 card board needed=1240 square cms.
Consider the following |dw:1442691552955:dw| Similarly for your prism we have |dw:1442691716775:dw|
|dw:1442691914287:dw|
In context of your question, \[b=16cm\]\[h=??\]\[l=20cm\]\[V=l \times \frac{1}{2} \times b \times h\] Calculate h using the 8,h,17 right triangle

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