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26 January, 07:26

A. If the height of the prism is 5 cm, what is its surface area? What is its volume?

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  1. 26 January, 11:03
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    The height of the prism is the only parameter given, with this, we can only find the surface area in terms of the volume, and volume in terms of the surface area.

    - The Surface Area is 0.2V

    - The Volume is 5A

    Step-by-step explanation:

    Given that the height, h of the prism is 5cm, let the surface area be A, and the volume be V. Then by definition,

    A = V/h ... (1)

    Making V the subject of the formula in (1), we have

    V = Ah ... (2)

    Using (1), and the parameter h = 5 cm, we have the surface area to be

    A = V/5

    Or A = 0.2V.

    Using (2), and the parameter h = 5 cm, we have the volume to be

    V = 5A
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