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3 June, 03:39

What's the error? Jerry says that a cube with edges that measure 10 cm has a volume that is twice as much as a cube with sides that measure 5 cm. Explain and correct Jerry's error

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  1. 3 June, 03:44
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    The quick way to dispute something like this is to simply do the calculation and then create a ratio.

    Cube One (Large Cube)

    The formula for a cube is V = e^3

    e = the measurement of an edge. In this case.

    e = 10 cm

    V = e^3

    V = 10^3 = 10*10*10

    V = 1000 cm^3

    Cube 2 (Small Cube)

    V = e^3

    e = 5 cm

    V = 5*5*5

    V = 125 cm^3

    Ratio

    Large Cube / Small Cube = 1000 / 125 = 8/1.

    The difference in size is 8 to 1 not 2 to 1.

    Explanation

    He's right if he sticks to one side. The ratio of one side of the large cube to the small one is 2 to 1. But once you put that into the formula for volume, three sides are multiplied together and that 2 shows up everytime you multiply the sides together.
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