If each side of a cube is increased by 25% find the percentage increase in its surface area

Open in App

Solution

Dear Student,

$L e t t h e e d g e = a c m I n c r e a s e b y 25 % = a + \frac{a}{4} = \frac{5 a}{4} T o t a l s u r f a c e A r e a o f O r i g i n a l c u b e = 6 a^{2} T o t a l s u r f a c e A r e a o f n e w c u b e = 6 {(\frac{5 a}{4})}^{2} = 6 \times \frac{25 a^{2}}{16} = 9.375 a^{2} I n c r e a s e i n A r e a = 9.375 a^{2} - 6 a^{2} = 3.375 a^{2} I n c r e a s e % a g e = \frac{3.375 a^{2}}{6 a^{2}} \times 100 = 56.25 %$

Regards

Suggest Corrections

Similar questions

If each edge of a cube is increased by $50 %$ , find the percentage increase in its surface area.

25 %

Join BYJU'S Learning Program