A cuboid is of dimensions 60 cm X 54 cm x 30 cm. How many small

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 Multiple Choice QuestionsShort Answer Type

61. Find the volume of the following cuboids.



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62. Find the volume of the following cubes.
(a) with a side 4 cm                (b) with a side 1.5 m.
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 Multiple Choice QuestionsLong Answer Type

63.

A company sells biscuits. For packing purpose they are using cuboidal boxes: 
box A rightwards arrow 3 cm x 8 cm x 20 cm,  box B rightwards arrow 4 cm x 12 cm x 10 cm. What size of the box will be economical for the company? why? Can you suggest any other size (dimensions) which has the same volume but is more economical than these?

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 Multiple Choice QuestionsShort Answer Type

64.  Find the volume of the following cylinders.
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65.

Given a cylindrical tank, in which situation will you find surface area and in which situation volume.
(a)   To find how much it can hold.
(b)   Number of cement bags required to plaster it.
(c)    To find the number of smaller tanks that can be filled with water from it.



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66. Find the height of a cuboid whose base area is 180 cm2 and volume is 900 cm3.
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67. A cuboid is of dimensions 60 cm X 54 cm x 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?


Volume of the cuboid = 60 cm x  54 cm x 30 cm
                                   = (60 x 54 x 30) cm3
Volume of the small cube = (6 x 6 x 6) cm3
∴  Required Number of cubes = fraction numerator Volume space of space the space cuboid over denominator Volume space of space the space small space cube end fraction

                                               = fraction numerator left parenthesis 60 space straight x space 54 space straight x space 30 right parenthesis space cm cubed over denominator left parenthesis 6 space straight x space 6 space straight x space 6 right parenthesis space cm cubed end fraction

                                               = space fraction numerator 60 cross times 54 cross times 30 over denominator 6 cross times 6 cross times 6 end fraction
                                              = 10 x 9 x 5 = 450    
Thus, 450 small cubes can be placed in the given period.

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68. Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm?
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69.

A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank?

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70.

 If each of a cube is doubled,
(i) How many times will its surface area increase?
(ii) How many times will its volume increase?

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