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3 February, 00:21

An architect creates a scale model. The volume of the scale model is 0.1 cubic meters. The volume of the real-world

building is 100,000 cubic meters. What is the ratio of corresponding sides from model to real world?

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  1. 3 February, 00:50
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    1:0.4641

    Step-by-step explanation:

    We are told that the scale of the model with respect to the real world is 0.1 cubic meter. This means that for every 1 cubic meter in the real world the model represents 0.1.

    They tell us that the real world volume is 100,000, that if we assume a cube, we have to:

    V = l ^ 3

    l = 100000 ^ (1/3)

    l = 46.41

    46.41 meters would be each side, now the volume of the model would be:

    100,000 * 0.1 = 10,000

    Which means that its sides would be:

    V = l ^ 3

    l = 100000 ^ (1/3)

    l = 21.54

    We calculate the scale of the sides:

    21.54 / 46.41 = 0.4641

    Which means that for every 1 meter in the real world the model represents 0.4641 meters.
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