by what percentage the volume of a cube increases if the length of each edge is increased by 50%
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Answer:
Initial Volume of cube = a^3 ( a= side of cube)
Final volume = (3a/2)^3 = (27a^3 / 8)
Since each edge length is increased by 50%
Percentage of increase in volume
= (increase in volume / initial volume) × 100
= (( (27/8 -1) a^3) / a^3 ) × 100
= ( 19 / 8 )× 100
= 237.5%
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