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Long Answer Type

81. The area of a rhombus and that of a square are equal. The side of the square is 6 cm. If one of the diagonal of the rhombus is 4 cm, then find the length of its other diagonal.

Here, side of the square = 6 cm
∴ Area of the square = Side x Side
= 6 cm x 6 cm
= 36 cm²
Since, [Area of the rhombus] = [Area of the square]
∴ Area of the rhombus = $36 space cm squared$

One of the diagonal of the rhombus = 4 cm
Let the other diagonal of the rhombus = d cm
∵ Area of the rhombus =

1 half cross times space Product space of space the space diagonals

∴ Area of the rhombus =

space 1 half cross times 4 cross times straight d

rightwards double arrow

1 half cross times 4 cross times straight d space equals space 36

rightwards double arrow

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Thus, the required length of the rhombus = 18 cm.

116 Views

Short Answer Type

82. If the length, breadth and height of a cuboid are respectively equal to 6 cm, 4 cm and 7 cm, then find its total surface area.

488 Views

Long Answer Type

83. The edge of a cube is 2 cm. Find the total surface area of the cuboid formed by three such cubes joined edge to edge.

205 Views

Short Answer Type

84. A company is selling its suitcases according to their surface areas. A suitcase can be bought at the rate of Rs 0.05 per cm². If the size of the suitcase purchased by Ramita is 80 cm × 48 cm × 24 cm, find the cost paid by Ramita for such 100 suitcases.

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85. A closed cylindrical tank of radius 7 cm and height 5 m is made from a sheet of metal. If the breadth of the rectangular sheet is 10 m, then find the length of the sheet.

85 Views

Long Answer Type

86. A road roller makes 250 complete revolution to move once over to once level a road. Find the area of the road levelled if the diameter of the road roller is 84 cm and length is 1 m.

137 Views

Short Answer Type

87. A cuboid is of dimensions 50 cm × 45 cm × 30 cm. How many small cubes with sides 5 cm can be places in the given cuboid?

548 Views

88. A square and a rectangle have same perimeter. If the side of the square is 60 cm and length of the rectangle is 80 m, then whose area is more and how much?

235 Views

89. Find the perimeter of a semicircular figure, if its diameter is 2.8 cm.

262 Views

90. Find the area of the trapezium shown below.

83 Views