A cube of side 1 m when its length is doubled its volume will increase by
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Length of cube = 1m
Volume of cube = 1 × 1 × 1 = 1 cubic metre
Increased length of cube = 2m
Volume of new cube = 2 × 2 × 2 = 8 cubic metre
Therefore, the volume increases 8 times
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SOLUTION
VOLUME OF CUBE = a³
a = 1m
VOLUME = 1³ = 1m³
When a is doubled = 2 × 1 = 2m
New VOLUME = 2³ = 8m³
INCREASE IN VOLUME = New Volume – First Volume
= 8 – 1 = 7m³
Hence the Volume is Increased by 7m³
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