Q11 of 94 Page 231

The length, breadth and height of a cuboid are in the ratio 3 : 4 : 6 and its volume is 576 cm3. The whole surface area of the cuboid is

We know that,

Volume of cuboid = Length × Breadth × Height


576 = 3x × 4x × 6x


576 = 72x3


x =


= 2


Therefore,


Total surface area of cuboid = 2 (lb + bh + hl)


= 2 (3x × 4x + 4x × 6x + 6x × 3x)


= 2 (48 + 96 + 72)


= 432 cm2

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Fill in the blanks:

(i) If l, b, h be the length, breadth and height of a cuboid, then its whole surface area = (………… ) sq units.


(ii) If l, b, h be the length, breadth and height of a cuboid, then its lateral surface area = (…………… ) sq units.


(iii) If each side of a cube is a, then its lateral surface area is………..sq units.


(iv) If r is the radius of the base and h be the height of a cylinder, then its volume is (………….. ) cubic units.


(v) If r is the radius of the base and h be the height of a cylinder, then its lateral surface area is (…………. ) sq units.