please help me as fast as possible
10. Each edge of a cube is increased by 50%. Find the percentage increase in the surface
area of the cube.
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Answer:
125%
Step-by-step explanation:
let edge of cube be a
then, surface area = 6a²
if each edge is increased by 50%
then,edge of cube = a×50/100=a/2+a = 3a/2
surface area=6×(3a/2)²= 6×9a²/4 = 27a²/2
increase = 27a²/2-6a² = 27a²-12a²/2 = 15a²/2
percentage= 15a²/12a²×100 = 5×25 =125%(ans)
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