Each Edge of a Cube is Increased by 50%. Find the Percentage Increase in the Surface Area of the Cube. - Mathematics

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Each edge of a cube is increased by 50%. Find the percentage increase in the surface area of the cube.

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`"Let d be the edge of the cube"`

`∴surface area of cube= 6xxa^2`

i.e, `S_1=6a^2`

According to problem when edge increased by 50% then the new edge becomes



`"New surface area becomes" =6xx(3/2a)^2`



∴Increased surface Area = `27/2a^2-6a^2`


So, increase in surface area `(15/2a^2)/6a^2`



Concept: Surface Area of a Cuboid
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RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.1 | Q 10 | Page 14

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