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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.

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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.

A triangular prism is shown with base of triangle labeled 16 cm, sides of triangles labeled 17 cm, and length of the box equal to 20 cm.

Part A: What is the height of the box? Show your work.

Part B: What is the approximate amount of cardboard used to make the sides of the candy box? Explain how you got your answer.

Guest May 25, 2017

#2
+4168
+2

Does the prism look something like this?

Part A:

In the purple writing, I found the height of the triangle using the Pythagorean theorem.

I think this is what the question is calling the "height of the box".

height of the box = 15 cm

Part B:

The amount of cardboard needed for the sides will be the lateral area of this prism.

lateral area = perimeter of triangle * height of prism

lateral area = (16 + 17 + 17) * 20

lateral area = 50 * 20

lateral area = 1,000    cm2

hectictar  May 25, 2017
Sort:

#1
+1

this is what i've gotten so far. i've only firgured out most of part b

Part B: first, i drew out the actual shape, but just flat. then i labeled all of the sides w/ their measurments. next, i found the area for each individual shape.
TRIANGLES: (17 * 16) / 2 = 136
RECTANGLES: 20 * 16 = 320

Guest May 25, 2017
#2
+4168
+2

Does the prism look something like this?

Part A:

In the purple writing, I found the height of the triangle using the Pythagorean theorem.

I think this is what the question is calling the "height of the box".

height of the box = 15 cm

Part B:

The amount of cardboard needed for the sides will be the lateral area of this prism.

lateral area = perimeter of triangle * height of prism

lateral area = (16 + 17 + 17) * 20

lateral area = 50 * 20

lateral area = 1,000    cm2

hectictar  May 25, 2017
#3
+89810
+2

What a pretty pic Hectictar!

What program do you draw your pictues in?

Melody  May 26, 2017
#4
+4168
+2

Thank you Melody !!

I just used " paint " to make the picture. :)

hectictar  May 26, 2017
#5
+89810
+2

Thanks, I have used paint very little.  :/

I usually use geogebra but maybe paint would be better  for pics like this.

I should experiment with paint I guess.

If you haven't used it yet you may like to play with geogebra, it is very good.

Melody  May 26, 2017

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