# Thread: Finding Volume of Triangular Prism

1. ## Finding Volume of Triangular Prism

Hi all, I am having trouble finding the solution to some questions. I have sought out how to calculate the volume but my questions make no sense when it comes to applying the problem solving method. In the following story I will type my problem in bold.

"A group of school kids are holding a school fundraiser by selling chocolates. To make the chocolate look appealing, they've decided to use a triangular prism shaped bar. Each bar will be wrapped in foil and they will be sold in boxes of 15 bars. For this chocolate mix, 1 cm^3 of chocolate has a mass of 0.6 grams."

The dimensions of each bar are 2.6 cm in height, 13 cm in length, 3 cm in base and two 3 cm sides. An example of this shape can be found here:
Surface Area and Volume of a Isosceles Triangular Prism, Page 6

* Find the volume of the chocolate bar mould
* Find the mass of chocolate needed for each bar in grams (g)
* Find the minimum amount of foil needed to wrap each bar
* Find a suitable sized box to hold 15 bars of chocolate

What I have done so far:
I have calculated the volume (probably incorrectly) by going length x base x height; my answer was 50.7cm. But I really don't think this is correct.

What I need help with:

I currently do not understand how to find the volume of this triangular prism shaped chocolate, so I would appreciate being steered in the right direction. Also, how would I go about finding the mass of the chocolate needed for each bar in grams and finding the minimum amount of foil needed to wrap each bar? Needless to say, I have tried to find sites online that give examples of these math questions but I have had no luck. I am not asking for the answers to my tasks, I want to be shown examples so I can apply the same method to solve my tasks myself.

2. ## Re: Finding Volume of Triangular Prism

Hey Crystuls.

Hint for 1: The volume of a triangular prism is 0.5*base*perpendicular_height*depth.
Hint for 2: Volume = mass*density where mass is in kg and density is in kg/m^3.

Given you have 0.6 grams per cubic centimeter, this means you have 0.0006 * (100)^3 = 600 kg per cubic metre.

Is this a problem in your mathematics class? Are you doing calculus?

3. ## Re: Finding Volume of Triangular Prism

Hi Chiro

Thank you for the hints! I will put that information to paper now and try to solve my tasks.

Yes, it is a problem in my maths class, no I am not yet learning calculus.