Question

if each edge of a cube is halved,how many times the surface area will be increased or decreased. What will be the effect on its volume?​

Answer 1

Each edge of the cove is halfed. Lateral surface area gets decreased by 4 times. So is total surface area . The volume gets decreased by 8 times.

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Answer 2

Answer:

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Step-by-step explanation:

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.