Ex 11.4, 7 If each edge of a cube is doubled, (ii) how many times will its volume increase?
Let
Original Edge of cube = a
Given that edge is doubled,
∴ New edge = 2a
Volume of original cube = (Edge)3
= a3
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.
Volume of new cube = (Edge)3
= (2a)3
= 8a3
= 8 × a3
= 8 × Original Volume
∴ New Volume will be 8 times original volume

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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