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15 April, 00:26

Zach has a terrarium with the dimensions of 20 by 8 and the terrarium was filled with 3 inches of sand. Zach gets a new terrarium that is larger with the dimensions of 10 by 24. Zach moved the existing sand in the new terrarium. How deep is the sand in the new terrarium

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  1. 15 April, 01:17
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    Answer: the sand in the new terrarium is 2 inches deep.

    Step-by-step explanation:

    Zach has a terrarium with the dimensions of 20 by 8 and the terrarium was filled with 3 inches of sand. It means that the volume of sand that this terrarium contains is

    20 * 8 * 3 = 480 inches³

    Zach gets a new terrarium that is larger with the dimensions of 10 by 24. If Zach moved the existing sand in the new terrarium and the height of the sand is represented by h, then the volume of sand into he new terrarium is

    10 * 24 * h = 240h

    Since the volume of sand in both terrariums is equal, then

    240h = 480

    h = 480/240

    h = 2 inches
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