Question

if each edge of a cube will be doubled (a) how many times will its surface area increase (b) how many times will its volume increase

Answer 1

( a ) let side of cube = a
so, surface area = 6a^2

now , according to question ,
new side = 2a
so ,surface area = 6 × (2a )^2
= 6× 4 a ^2
= 24 a^2
( b ) and , volume of cube = a^3
now , new volume = ( 2 a )^3
= 8 a^3

Answer 2

Answer:

Step-by-step explanation:

( a ) let side of cube = a

now , according to question ,

new side = 2a

so ,surface area = 6 × (2a )^2

= 6× 4 a ^2

= 24 a^2

( b )now , new volume = ( 2 a )^3

= 8 a^3