A candy bar box is in the shape of a triangular prism. The volume of the box is 3,240 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 this candy box? Explain how you got your answer. (5 points)
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OpenStudy (puertoricangirl):
OpenStudy (puertoricangirl):
@agent0smith
OpenStudy (puertoricangirl):
base = 30
OpenStudy (agent0smith):
No, look at the triangle.
OpenStudy (puertoricangirl):
it's been a long time since I have work with these things so ya
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OpenStudy (puertoricangirl):
uh...24 ?
OpenStudy (agent0smith):
The base is 24. The length is 30.
\[\large Volume = \frac{ 1 }{ 2 }*base* height*length\]
\[\large 3240= \frac{ 1 }{ 2 }*24* h*30\]
solve for h
OpenStudy (puertoricangirl):
h=15 ?
OpenStudy (agent0smith):
No, show your work.
OpenStudy (puertoricangirl):
3240 divided by 1.5 divided by 24 divided by 30 = 3
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OpenStudy (agent0smith):
There is no 1.5. Did you mean 1/2? That's 0.5.
OpenStudy (puertoricangirl):
oh lol
OpenStudy (puertoricangirl):
then it's 9
OpenStudy (puertoricangirl):
right?
OpenStudy (agent0smith):
Right
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OpenStudy (puertoricangirl):
k how about part b?
OpenStudy (agent0smith):
Now you have to find the area of every single side and add them all together
OpenStudy (agent0smith):
Area of the triangle = 1/2 * 24*9
Don't forget there is two of them.
Area of the top side = 30*15
There is also two of those
Area of the bottom = 24*30
There's only one bottom piece.
OpenStudy (puertoricangirl):
area of a triangle total is 216
OpenStudy (puertoricangirl):
the top is 900
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OpenStudy (puertoricangirl):
and bottom is 720
OpenStudy (puertoricangirl):
sry it took long I was doing it in brain because I cant use a calculator plus I dont have papers so ya
OpenStudy (agent0smith):
You're on a computer. It's giant calculator.
OpenStudy (puertoricangirl):
ik but my parents dont want me to use it ....one more rule
OpenStudy (agent0smith):
Oh okay yeah if you're doing 7th grade stuff then you should be doing it by hand.
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OpenStudy (puertoricangirl):
yep now all I gonna do is just add all those three things up right?