Question

$\tt\huge{{☞QUESTION}}$


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

Answer 1

Given:

• If each edge of a cube is increased by 50%

Formula used:

The surface area of cube = 6 side2

Solution:

According to the question,

Let the side of the cube be x

Each side of the cube increased by 50%.

⇢$\sf \dfrac{x(100 + 50)}{100}$= 1.5x

The surface area of the cube

⇢$\sf{6 \ x^2}$

The new surface area of the cube (side = 1.5x)

⇢ $\sf {6 × 2.25}$$\sf{x^2}$

Increase percentage in the surface area

⇢ $\sf \dfrac{6 × 2.25 x^2 - 6 x^2}{6x^2}$× 100

⇢ 125%

∴ The percentage increase in the surface area is 125%.

Answer 2

Answer:

Percentage increase in surface area =125 %.

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