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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.

∵ Side of the square = 15 cm
∴ Perimeter of the square = 4 x 15 cm = 60 cm
Since, [Perimeter of the rectangle] = [Perimeter of the square]
∴ [Perimeter of the rectangle] = 60 cm
Let length of the rectangle = x cm
∴ 2[x + 10] = 60 [∵ Breadth of the rectangle = 10 cm]
$rightwards double arrow$ 2x + 20 = 60
$rightwards double arrow$ 2x = 60 - 20 = 40
$rightwards double arrow$ $straight x equals 40 over 2 equals 20 space cm$
$rightwards double arrow$ Length of the rectangle = 20 cm
Now, Area of the rectangle = Length x Breadth
= 20 x 10 cm²
= 200 cm²
Area of the square = Side x Side
= 15 x 15 cm²
= 225 cm²
∴ Difference in areas = 225 cm² - 200 cm² = 25 cm²

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Short Answer Type

79. Find the area of the following trapezium.

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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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