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12 April, 04:03

If a cubical cell with 2-cm sides doubles the dimensions of its sides, what change occurs to the ratio of its surface area to volume?

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  1. 12 April, 04:13
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    The ratio will become half.

    Explanation:

    Given that the cell is cubic, its surface area = 6 l^2 where l is the length of sides in cm.

    The volume is l^3

    The surface area of the cell is 2*2*6=24;

    The volume of the cell is 8;

    Surface Area : Volume = 24:8 = 3:1;

    The new surface area is 4*4*6 = 96;

    New Volume = 4*4*4=64;

    Surface Area : Volume = 96:64 = 1.5:1
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