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Last updated at March 23, 2023 by Teachoo
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.