Given:
Each edge of the cube is increased by 50%
Concept Used:
Concept of percentage, It is calculated on the base of 100
For Example, x% means x out of 100
All edges of a cube are equal and the area of one surface is
(lengthofedge)2 Calculation:
Let, the edge of the cube is a unit
Area of one surface is
a2 square unit
Edge is increased by 50%
⇒ Edge is increased by (50/100) × a
⇒ a/2
The new length of the edge is (a + a/2)
⇒ 3a/2
The new area of one surface is
(3)2 ⇒
9 Increased on the surface area is
(9–a2) ⇒
5 Percentage increase in the surface area is
{} × 100%
⇒ 125%
∴ The percentage increase in its one surface area is 125%