Answer:

Each side of the cube increased by 50%. ∴ The percentage increase in the surface area is 125%.

Step-by-step explanation:

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Verified answer

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%.

⇢[tex] \sf \dfrac{x(100 + 50)}{100}[/tex]= 1.5x

The surface area of the cube

⇢[tex] \sf{6 \ x^2}[/tex]

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

⇢ [tex] \sf {6 × 2.25}[/tex][tex] \sf{x^2}[/tex]

Increase percentage in the surface area

⇢ [tex] \sf \dfrac{6 × 2.25 x^2 - 6 x^2}{6x^2}[/tex]× 100

⇢ 125%

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