# If each edge of a cube is increased by 50%, the percentage increase in the surface area isA. 50%B. 75%C. 100%D. 125%

Given: Edge of a cube is increased by 50%

Let ‘a’ be the Edge of the cube

Area of the cube is : 6l2 (where ‘l’ is the edge of a cube)

Let A1 be the initial surface area of the cube.

A1 = 6a2

Now,

50% of the edge is: a × =

Edge = a + after increasing edge by 50%

That is edge of the cube after increasing it by 50% is

Let A2 be the surface area of the cube after increasing the edge by 50%

A2= 6 × ()2 = × 6a2

Here increase in area = A2 –A1

increase in area = × 6a2 – 6a2 = × 6a2

Now, increase in percentage is:

Increase in % = × 100 = × 100 = 125%

If each edge of a cube is increased by 50%, then the percentage increase in the surface area is 125%

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