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.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 2.A trapezium has an area of 132 square cm. Its parallel sides are 4 cm and 20 cm. What is the distance between them (in cm)?
- 3.A cuboid is 5 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 4.A trapezium has an area of 68 square cm. Its parallel sides are 11 cm and 6 cm. What is the distance between them (in cm)?
- 5.A trapezium has parallel sides of 19 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 6.A trapezium has parallel sides of 19 cm and 2 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 7.The diagonals of a rhombus are 12 cm and 7 cm. What is its area (in square cm)?
- 8.A room is 10 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
- 9.A trapezium has an area of 329 square cm. Its parallel sides are 28 cm and 19 cm. What is the distance between them (in cm)?
- 10.A trapezium has an area of 52 square cm. Its parallel sides are 5 cm and 21 cm. What is the distance between them (in cm)?
- 11.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
- 12.A cuboid is 13 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 13.A trapezium has parallel sides of 21 cm and 11 cm, and the distance between them is 19 cm. What is its area (in square cm)?
- 14.A trapezium has parallel sides of 27 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 15.A cuboid is 8 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 16.A trapezium has parallel sides of 7 cm and 10 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 17.A trapezium has parallel sides of 11 cm and 23 cm, and the distance between them is 7 cm. What is its area (in square cm)?
- 18.A trapezium has an area of 410 square cm. Its parallel sides are 24 cm and 17 cm. What is the distance between them (in cm)?
- 19.A trapezium has an area of 75 square cm. Its parallel sides are 26 cm and 4 cm. What is the distance between them (in cm)?
- 20.A trapezium has parallel sides of 24 cm and 6 cm, and the distance between them is 13 cm. What is its area (in square cm)?
- 21.The diagonals of a rhombus are 18 cm and 13 cm. What is its area (in square cm)?
- 22.A trapezium has parallel sides of 24 cm and 14 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 23.A trapezium has parallel sides of 29 cm and 4 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 24.A cuboid is 8 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 25.A trapezium has parallel sides of 17 cm and 5 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 26.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
- 27.The diagonals of a rhombus are 4 cm and 6 cm. What is its area (in square cm)?
- 28.A trapezium has an area of 63 square cm. Its parallel sides are 10 cm and 8 cm. What is the distance between them (in cm)?
- 29.A trapezium has parallel sides of 15 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 30.A cuboid is 14 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 31.A trapezium has parallel sides of 28 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 32.A trapezium has parallel sides of 28 cm and 26 cm, and the distance between them is 11 cm. What is its area (in square cm)?
- 33.A cuboid is 4 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 34.A trapezium has parallel sides of 28 cm and 23 cm, and the distance between them is 16 cm. What is its area (in square cm)?
- 35.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
- 36.The diagonals of a rhombus are 4 cm and 14 cm. What is its area (in square cm)?
- 37.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
- 38.A trapezium has an area of 28 square cm. Its parallel sides are 8 cm and 20 cm. What is the distance between them (in cm)?
- 39.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
- 40.A cuboid is 6 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
Answer key
- 3
- 11
- 184
- 8
- 33
- 126
- 42
- 150
- 14
- 4
- 96
- 308
- 304
- 117
- 262
- 85
- 119
- 20
- 5
- 195
- 117
- 114
- 297
- 416
- 110
- 96
- 12
- 7
- 78
- 390
- 400
- 297
- 136
- 408
- 216
- 28
- 7
- 2
- 32
- 288
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