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Math Help - Finding Volume of Triangular Prism

  1. #1
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    Post 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

    The tasks are the following:
    * 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.

    Thanks for your help everyone!
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  2. #2
    MHF Contributor
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    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?
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  3. #3
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    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.
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