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29 March, 06:35

Which will have a greater effect on the volume of the prism: doubling the height or doubling the width? Explain your reasons.

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  1. 29 March, 06:55
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    Doubling the width has a greater effect on volume.

    The volume of a prism is calculated by this formula:

    Prism Volume = Area of Base • Height

    The Area of the Base is calculated by this formula:

    area = n * side² / (4*tan (180 / # of sides)

    So, we see that doubling the width (the side length) will increase the volume by 4 whereas doubling the height only doubles the volume.
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