Question #20949

if the each edge of a cube is doubled then what is the volume become and the surface

Expert's answer

If cube edge is xx then


V=xxx=x3V = x * x * x = x ^ {3}S=xx6=6x2S = x * x * 6 = 6 x ^ {2}


So if we doubled edge:


V=2x2x2x=8x3V = 2 x * 2 x * 2 x = 8 x ^ {3}S=2x2x6=24x2S = 2 x * 2 x * 6 = 24 x ^ {2}


Answer: volume increased by 8 times. Surface increased by 4 times.

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