Ex 9.3, 7 If each edge of a cube is doubled, (i) how many times will its surface area increase?
Let
Original Edge of cube = a
Given that edge is doubled,
∴ New edge = 2a
Surface area of original cube = 6 × (Edge)2
= 6a2
Surface area of new cube = 6 × (Edge)2
= 6 × (2a)2
= 6 × 4a2
= 4 × 6a2
= 4 × Original Surface Area
∴ New surface area will be 4 times original surface area.
Surface area of new cube = 6 × (Edge)2
= 6 × (2a)2
= 6 × 4a2
= 4 × 6a2
= 4 × Original Surface Area
∴ New surface area will be 4 times original surface area.

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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