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)
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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.
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.
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.