Question

If each edge of the cube is thrice how many time will it surface area increase and how many time its volume increase

Answer 1

Answer:

increase in surface area = 48a^2

increase in volume =26a^3

Step-by-step explanation:

original s.a ==> 6a^2

new s.a ==> 6x(3a)^2 ==> 54a^2

increase in s.a ==> 54a^2-6a^2 ==> 48a^2

original volume ==> a^3

new volume ==> (3a)^3 ==> 27a^3

increase ==> 27a^3 - a^3 ==> 26a^3

{please refer to the image}