A scale model of a building has a scale of 3 : 79. The height of the real building is 24 m. Find the height of the scale model.<

Question

A scale model of a building has a scale of 3 : 79.
The height of the real building is 24 m.
Find the height of the scale model.
Give your answer in cm to 2 dp.

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Diễm Thu 4 years 2021-08-27T12:41:30+00:00 1 Answers 3 views 0

Answers ( )

  1. minhkhang
    0
    2021-08-27T12:42:57+00:00
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    Answer:

    The height of the scale model is of 91.14 cm.

    Step-by-step explanation:

    Scale problems are solved by proportions, using rule of three.

    A scale model of a building has a scale of 3 : 79.

    This means that 3m on the drawing represent 79m of real height.

    The height of the real building is 24 m.

    3m – 79m

    xm – 24m

    Applying cross multiplication

    79x = 72

    x = \frac{72}{79}

    x = 0.9114

    In centimeters:

    Multiplying by 100:

    0.9114*100 = 91.14 cm.

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