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23 October, 22:17

Haley used unit cubes to build a rectangular prism that is 5 units long, 3 units wide, and 4 units tall. Jeremiah used unit cubes to build a rectangular prism that has twice the volume of Haley's prism. Jeremiah's prism is 4 units long and 3 units wide. How tall is Jeremiah's prism?

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  1. 24 October, 01:02
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    10 units

    Step-by-step explanation:

    Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.

    The volume of Haley's prism is:

    V = 5 * 3 * 4 = 60 cubic units

    Jeremiah's prism has twice the volume of Haley's:

    V (J) = 2 * 60 = 120 cubic units

    This implies that:

    120 = 4 * 3 * h

    where h = height of prism

    => 120 = 12h

    => h = 120 / 12 = 10 units

    Jeremiah's prism is 10 units tall.
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