Q3 of 32 Page 13

Find the surface area of a cube whose volume is given:
(i) 216 cm3    (ii) 1000 cm3

Let the edge of the cube= a cm
Then volume of the cube = a3 cu. cm and surface area = 6a2 sq. cm.
(i) a3 = 216   ⇒   a = 6 cm
∴Total surface area = 6a2 = 6 x (6)2 = 216 cm2
(ii) a3=1000   ⇒   a=10 cm
Total S.A.= 6a2 = 6(10)2 = 600 sq. cm

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