2. Each edge of a cube is increased by 50%. Find the
percentage increase in the total surface area.
4+2=) 6cm
Answers
Answered by
3
Answer:
don't know sorry for that
Answered by
1
Answer:
As given, a new edge after increasing the existing edge by 50%, we get
The new edge = x + 50 x /100
The new edge = = 3x/2
Surface area of the cube having edge 3x/2 = 6 x (3x/2)2= (27/2)x2……..(2)
Subtract equation (1) from (2) to find the increase in the Surface Area:
Increase in the Surface Area = (27/2)x2 – 6x2
Increase in the Surface Area = = (15/2)x2
Now,
Percentage increase in the surface area = ((15/2)x2 / 6x2) x 100
= 15/12 x 100
= 125%
Therefore, the percentage increase in the surface area of a cube is 125
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