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Mensuration

Short Answer Type

71.

Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m³, find the number of hours it will take to fill the reservoir.

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72. Fill in the blanks.
(i) 1 cm³ = 1 cm x 1 cm x 1 cm = ....mm³
(ii) 1 m³ = 1 m x 1 m x 1 m = ......cm³

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73. Fill in the blanks.

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74. Find the height of a cuboid whose volume is 275 cm³ and base area is 25 cm².

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75. A godown is in the form of a cuboid of measures 60 m × 40 m × 30 m. How many cuboidal boxes can be stored in it if the volume of one box is 0.8 m³?

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76. A rectangular paper of width 14 cm is rolled along its width and a cylinder of radius 20 cm is formed. Find the volume of the cylinder. (Take

straight pi equals 22 over 7

)

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77. A rectangular piece of paper is having measures 11 cm × 4 cm. It is folded without overlapping to make a cylinder of height 4 cm. Find the volume of the cylinder.

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Long Answer Type

78. A rectangle and a square have equal perimeter. If the breadth of the rectangle is 10 cm and the side the square is 15 cm, then find the difference between their areas.

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Short Answer Type

79. Find the area of the following trapezium.

Here, parallel sides are 25 cm and 15 cm.
Height (i.e. distance between the parallel sides) = 12 cm
∵ Area of a trapezium ABCD = $1 half cross times left parenthesis Sum space of space the space parallel space sides right parenthesis space cross times space Height$

∴ Area of the trapezium ABCD = $1 half left parenthesis 25 space cm space plus 15 space cm right parenthesis space cross times space 12 space cm$

$space space space space equals space 1 half cross times 40 cross times 12 space space cm squared$
$space space space space equals space 240 space cm squared$
Thus, the required area of the trapezium ABCD = 240 cm²

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Long Answer Type

80. Find the length of the diagonal BD when, the area of the quadrilateral is 32 cm².

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