Question

if side cubic double or half how much increase in their volumne tsa

Answer 1

Answer:

Step-by-step explanation:

side of cube = a

volume of a cube = a³

tsa of cube = 6a²

CASE 1

when side doubled, (2a)

tsa = 6(2a)²

= 6 × 4a²

= 24a²

volume = (2a)³

= 8a³

when side half(a/2)

tsa = 6(a/2)²

= 6×a²/4

= 6a²/4

volume = (a/2)³

= a³/8

Answer 2

Answer:

Step-by-step explanation:

Sol:

Let the length of the edge of the cube be 'x' cm

(i) Total surface area = 6x2 cm2

Increased length of the edge = 2x

Total surface area = 6(2x)2 cm2 = 24x2 cm2

If the edge of the cube is doubled surface area of the cube increases by 4 times.

(ii) Volume of the cube = x3 cm3

Increased length of the edge = 2x

Volume of the cube formed = (2x)3 cm3 = 8x3 cm3

If the edge of the cube is doubled volume of the cube is increases by 8 times.