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Ex 11.4, 7 (i) - Chapter 11 Class 8 Mensuration

Last updated at Sept. 1, 2021 by

Ex 11.4, 7 - If each edge of a cube is doubled, (i) how many times

Ex 11.4, 7 - Chapter 11 Class 8 Mensuration - Part 2

 

 

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Ex 11.4, 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.

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