Question

if each side of a cube is increased by 5% find the percentage increase in its surface area

Answer 1

Answer:

10.25%

Step-by-step explanation:

Surface area of a cube of side a is:

• S= 6a²

If side has increased by 5%, side will have a value:

• a' = a+ 5% = a*1.05 = 1.05a
• S' = 6a'² = 6*(1.05a)² = 6.615a²

The difference in the surface areas:

• 6.615a² - 6a² = 0.615a²

Percent increase:

• 0.615a²/6a²*100%= 10.25%