If each side of a cube is decreased by 19% , then the decrease in surface area is :

Name: If each side of a cube is decreased by 19% , then the decrease in surface area is :
Uploaded: 2026-04-05T16:11:29.804751+05:30
Duration: 2 min 19 s
Description: If each side of a cube is decreased by 19% , then the decrease in surface area is :

Solution

Let the side of the cube be 'a'

$$SA_1=6a^2$$

Now, the side of the cube is decreased by 19%, thus the side of the cube will be 0.81a.

$$SA_2=6\times\left(0.81a\right)^2$$

Decrease in surface area of the cube = $$\dfrac{6a^2-6\left(0.81a\right)^2}{6a^2}\times100=34.39\%$$

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If each side of a cube is decreased by 19% , then the decrease in surface area is :

Solution

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