A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 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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A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 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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that picture doesn't look right, height is already there in the picture
i copied it directly from the page. which number is the height? i thought the same but wanted to make sure
height = distance between triangular bases
but which number is it? there are 2 numbers next to the height
nm. its 13 right?
|dw:1436232499596:dw|
distance between the triangular bases is 20cm right
is that the height of the box?
i thought that was the length
Yes thats the height of the box
|dw:1436232791136:dw|
I think they want they want the length of this segment here |dw:1436232861596:dw|
thats the height of base, not box
if so, then focus on this triangle |dw:1436232912171:dw| imagine looking directly at this triangle |dw:1436232983737:dw|
|dw:1436233051396:dw|
is it 12?
yeah because we have a 5-12-13 right triangle |dw:1436233124402:dw|
that is of course, assuming that's what they meant by "height"
so it Is 12?
yeah
thx. but i dont understand part b
you have 3 lateral sides Right face |dw:1436233275185:dw|
left face (hidden) |dw:1436233294238:dw|
and the bottom face (also hidden) |dw:1436233324795:dw|
they are the lateral faces
find the area of each lateral face, then add up the areas
how would i find the area of the lateral faces?
each is a rectangle
for instance, the bottom face is a 10 by 20 rectangle
thats 200
|dw:1436233428096:dw|
do the same for the other rectangles
also, don't forget about the triangles as well
how did we get 12 again?
for part a
did you randomly guess 12?
you were the first one to write it
no. i did some random equations and it sounded right to me
|dw:1436233600130:dw|
That's the pythagorean theorem
ok. thx.
np
for part b it says approximate though. do we have to round?
if we dont round, i got 850 for part b
not always approximate just means that it's some decimal that usually goes on forever example: 1/7 = 0.14285714285714 the "142857" repeats forever over and over. So one approximation of 1/7 is 0.14286. Another approximation is 0.1429
so yeah I guess in a way, you are rounding
is 850 correct?
close but no
what is it?
how did you get 850? can you show your work?
yes. hold on a sec
|dw:1436234036932:dw|
the triangle portion is where you made an error
each triangle has a base of 10 and height of 12
oh right!!! i forgot about that part. hold on so i can fix it.
840 is the correct answer
yep, 840 square cm
thx!!!
sure thing
is it squared or cubed?
surface area deals with square units (not cubic units)
ok thx
yw

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