Class 8 Maths Worksheet: Mensuration
The method (Flat parts add up): Trapezium: area = ½ × (a + b) × h. Rhombus: area = ½ × d₁ × d₂. Cuboid: total surface area = 2(lb + bh + hl); four walls = 2h(l + b). Cube: total surface area = 6a²; edge = √(surface area ÷ 6). Missing height of a trapezium = 2 × area ÷ (a + b).
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- 1.A trapezium has parallel sides of 24 cm and 12 cm, and the distance between them is 17 cm. What is its area (in square cm)?
- 2.A cuboid is 6 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 3.A cuboid is 5 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 4.A trapezium has parallel sides of 8 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 5.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
- 6.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
- 7.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 8.A trapezium has parallel sides of 13 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
- 9.A trapezium has an area of 104 square cm. Its parallel sides are 23 cm and 29 cm. What is the distance between them (in cm)?
- 10.A trapezium has parallel sides of 22 cm and 19 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 11.A cuboid is 11 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 12.The diagonals of a rhombus are 26 cm and 23 cm. What is its area (in square cm)?
- 13.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 14.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
- 15.A trapezium has parallel sides of 11 cm and 18 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 16.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
- 17.A room is 10 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
- 18.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
- 19.A cuboid is 13 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 20.A trapezium has parallel sides of 24 cm and 6 cm, and the distance between them is 15 cm. What is its area (in square cm)?
- 21.The diagonals of a rhombus are 6 cm and 22 cm. What is its area (in square cm)?
- 22.A trapezium has an area of 81 square cm. Its parallel sides are 15 cm and 12 cm. What is the distance between them (in cm)?
- 23.A cuboid is 12 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 24.A trapezium has an area of 220 square cm. Its parallel sides are 16 cm and 6 cm. What is the distance between them (in cm)?
- 25.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
- 26.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
- 27.A room is 9 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
- 28.The diagonals of a rhombus are 16 cm and 17 cm. What is its area (in square cm)?
- 29.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
- 30.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
- 31.A cuboid is 6 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 32.A trapezium has parallel sides of 29 cm and 27 cm, and the distance between them is 7 cm. What is its area (in square cm)?
- 33.A cuboid is 7 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 34.A cuboid is 10 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 35.The diagonals of a rhombus are 18 cm and 10 cm. What is its area (in square cm)?
- 36.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
- 37.A room is 3 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
- 38.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
- 39.A trapezium has parallel sides of 19 cm and 27 cm, and the distance between them is 15 cm. What is its area (in square cm)?
- 40.The diagonals of a rhombus are 8 cm and 13 cm. What is its area (in square cm)?
Answer key
- 306
- 432
- 342
- 162
- 150
- 90
- 54
- 128
- 4
- 164
- 174
- 299
- 160
- 3750
- 58
- 24
- 130
- 726
- 718
- 225
- 66
- 6
- 594
- 20
- 4
- 136
- 190
- 136
- 120
- 288
- 88
- 196
- 136
- 448
- 90
- 10
- 110
- 600
- 345
- 52
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