Q2 of 94 Page 228

The total surface area of a cube is 150 cm2. Its volume is

We know that,

Total surface area of cube = 6a2


6a2 = 150 cm2


a =


a =


a = 5 cm


Therefore,


Volume of the cube = a3 = 53 = 125 cm3


Hence, option B is correct

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21

The length of a metallic tube is 1 metre, its thickness is 1 cm and its inner diameter is 12 cm. Find the weight of the tube if the density of the metal is 7.7 grams per cubic centimetre.

Hint. Weight of 1 cm3 of metal = 7.7 g.


Its volume =


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The maximum length of a pencil that can be kept in a rectangular box of dimensions

12 cm x 9 cm x 8 cm, is

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The volume of a cube is 343 cm3. Its total surface area is

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The cost of painting the whole surface area of a cube at the rate of is 10 paise per cm2Rs. 264.60. Then, the volume of the cube is