Question

If side of a cube is doubled then
(1) How many times its surface area will increase?
(2) How many times its volume will increase?​

Answer 1

Answer:

Explanation:

1) 4 times the surface area will increase

2) 8 times the volume will increase

Answer 2

Answer:

let the side of cube is 2 cm

so , lateral surface area of cube = 4a^2

= 4 × ( 2 ) ^2 = 4×4 = 16cm^2

let the side of other cube = 4 cm

lateral surface area of cube = 4 × ( 4) ^2

= 4 × 16 = 64 cm ^2

so , the surface area increase = 64 / 16

= 4

so the surface area of cube increase 4 times

volume of first cube = a ^3

= ( 2) ^3 = 8 cm ^3

volume of other cube = ( 4 ) ^ 3 = 64 cm ^3

volume of cube increase = 64 / 8 = 8

so, the volume of cube increase 8 times .

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