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 12 cm and 23 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 2.A trapezium has parallel sides of 6 cm and 17 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 3.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
- 4.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
- 5.A trapezium has an area of 246 square cm. Its parallel sides are 22 cm and 19 cm. What is the distance between them (in cm)?
- 6.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
- 7.A cuboid is 4 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 8.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
- 9.A trapezium has parallel sides of 4 cm and 29 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 10.The diagonals of a rhombus are 10 cm and 27 cm. What is its area (in square cm)?
- 11.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
- 12.A trapezium has an area of 72 square cm. Its parallel sides are 10 cm and 26 cm. What is the distance between them (in cm)?
- 13.A cuboid is 14 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 14.A trapezium has an area of 430 square cm. Its parallel sides are 19 cm and 24 cm. What is the distance between them (in cm)?
- 15.The diagonals of a rhombus are 18 cm and 14 cm. What is its area (in square cm)?
- 16.A trapezium has an area of 88 square cm. Its parallel sides are 18 cm and 26 cm. What is the distance between them (in 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.A trapezium has an area of 135 square cm. Its parallel sides are 10 cm and 17 cm. What is the distance between them (in cm)?
- 19.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
- 20.A trapezium has an area of 176 square cm. Its parallel sides are 24 cm and 8 cm. What is the distance between them (in cm)?
- 21.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
- 22.A trapezium has an area of 360 square cm. Its parallel sides are 29 cm and 19 cm. What is the distance between them (in cm)?
- 23.A trapezium has parallel sides of 23 cm and 27 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 24.A trapezium has parallel sides of 14 cm and 6 cm, and the distance between them is 5 cm. What is its area (in square cm)?
- 25.A trapezium has parallel sides of 21 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 26.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
- 27.A trapezium has parallel sides of 13 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 28.A cuboid is 12 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 29.A trapezium has parallel sides of 23 cm and 15 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 30.A cuboid is 9 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 31.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
- 32.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
- 33.The diagonals of a rhombus are 30 cm and 7 cm. What is its area (in square cm)?
- 34.A trapezium has an area of 172 square cm. Its parallel sides are 20 cm and 23 cm. What is the distance between them (in cm)?
- 35.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
- 36.The diagonals of a rhombus are 4 cm and 19 cm. What is its area (in square cm)?
- 37.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
- 38.A room is 8 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
- 39.A cuboid is 5 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 40.A cuboid is 6 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
Answer key
- 70
- 92
- 2
- 216
- 12
- 726
- 100
- 120
- 165
- 135
- 864
- 4
- 658
- 20
- 126
- 4
- 130
- 10
- 80
- 11
- 84
- 15
- 500
- 50
- 37
- 12
- 42
- 480
- 228
- 230
- 24
- 5
- 105
- 8
- 150
- 38
- 19
- 112
- 256
- 234
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