Question

If each side of a cube increased 25%, then find the percentage of increase in surface area.

Answer 1

Let the sides of the cube be s.

The surface area is :

6 × s² = 6s²

When the length is increased by 25%.

The new length is :

1.25s

The surface area :

6 × 1.25s × 1.25s = 9.375s²

The increase in SA = 9.375s² - 6s²

= 3.375s²

Percentage increase = 3.375s²/6s² × 100 = 56.25%

= 56.25%

Answer 2

Answer:

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