A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.

Question

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.

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Thiên Di 4 years 2021-08-04T22:31:58+00:00 1 Answers 137 views 0

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  1. ngockhue
    0
    2021-08-04T22:33:33+00:00
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    Answer:

    Height = 12cm

    Step-by-step explanation:

    Given

    Volume = 1200cm^3

    The dimension of the base is:

    Base =10cm

    Sides = 13cm

    See comment for complete question

    Required

    The height of the base

    To do this, we make use of Pythagoras theorem where:

    Sides^2 = (Base/2)^2 + Height^2

    So, we have:

    13^2 = (10/2)^2 + Height^2

    13^2 = 5^2 + Height^2

    169 = 25 + Height^2

    Collect like terms

    Height^2 = 169 - 25

    Height^2 = 144

    Take square roots of both sides

    Height = 12cm

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