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 cuboid is 7 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 2.A trapezium has parallel sides of 5 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
- 3.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
- 4.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 5.A room is 12 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
- 6.A cuboid is 11 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 7.A cuboid is 6 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 8.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
- 9.The diagonals of a rhombus are 30 cm and 29 cm. What is its area (in square cm)?
- 10.The diagonals of a rhombus are 6 cm and 13 cm. What is its area (in square cm)?
- 11.A trapezium has an area of 112 square cm. Its parallel sides are 14 cm and 18 cm. What is the distance between them (in cm)?
- 12.A cuboid is 3 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 13.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
- 14.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
- 15.A trapezium has parallel sides of 26 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 16.A cuboid is 5 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 17.A room is 6 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
- 18.The diagonals of a rhombus are 12 cm and 5 cm. What is its area (in square cm)?
- 19.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
- 20.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 21.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
- 22.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
- 23.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
- 24.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
- 25.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
- 26.A cuboid is 4 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 27.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
- 28.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
- 29.A trapezium has parallel sides of 5 cm and 9 cm, and the distance between them is 3 cm. What is its area (in square cm)?
- 30.A trapezium has parallel sides of 9 cm and 24 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 31.A trapezium has parallel sides of 15 cm and 11 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 32.The diagonals of a rhombus are 22 cm and 7 cm. What is its area (in square cm)?
- 33.A trapezium has parallel sides of 15 cm and 13 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 34.A trapezium has parallel sides of 14 cm and 20 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 35.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
- 36.A trapezium has parallel sides of 27 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 37.A trapezium has an area of 345 square cm. Its parallel sides are 28 cm and 18 cm. What is the distance between them (in cm)?
- 38.A trapezium has parallel sides of 5 cm and 23 cm, and the distance between them is 19 cm. What is its area (in square cm)?
- 39.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
- 40.A trapezium has parallel sides of 18 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
Answer key
- 188
- 200
- 20
- 3
- 132
- 290
- 198
- 2646
- 435
- 39
- 7
- 252
- 3174
- 8
- 36
- 76
- 88
- 30
- 1734
- 54
- 216
- 84
- 54
- 6
- 726
- 40
- 90
- 1176
- 21
- 330
- 52
- 77
- 112
- 340
- 9
- 560
- 15
- 266
- 600
- 110
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