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).
NameDateTime takenScore ___ / 40
- 1.A trapezium has an area of 11 square cm. Its parallel sides are 5 cm and 6 cm. What is the distance between them (in cm)?
- 2.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
- 3.A trapezium has an area of 27 square cm. Its parallel sides are 21 cm and 6 cm. What is the distance between them (in cm)?
- 4.A cuboid is 14 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 5.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
- 6.A room is 12 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
- 7.The diagonals of a rhombus are 28 cm and 27 cm. What is its area (in square cm)?
- 8.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
- 9.A cuboid is 4 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 10.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
- 11.The diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
- 12.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
- 13.The diagonals of a rhombus are 10 cm and 11 cm. What is its area (in square cm)?
- 14.The diagonals of a rhombus are 8 cm and 10 cm. What is its area (in square cm)?
- 15.A cuboid is 3 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 16.A room is 9 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
- 17.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
- 18.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
- 19.The diagonals of a rhombus are 14 cm and 10 cm. What is its area (in square cm)?
- 20.A room is 10 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
- 21.A cuboid is 7 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 22.The diagonals of a rhombus are 22 cm and 9 cm. What is its area (in square cm)?
- 23.The diagonals of a rhombus are 4 cm and 10 cm. What is its area (in square cm)?
- 24.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
- 25.A trapezium has parallel sides of 24 cm and 4 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 26.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
- 27.A trapezium has an area of 399 square cm. Its parallel sides are 29 cm and 13 cm. What is the distance between them (in cm)?
- 28.The diagonals of a rhombus are 14 cm and 21 cm. What is its area (in square cm)?
- 29.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
- 30.A trapezium has parallel sides of 21 cm and 7 cm, and the distance between them is 9 cm. What is its area (in square cm)?
- 31.A room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
- 32.A room is 8 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
- 33.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
- 34.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 35.The diagonals of a rhombus are 20 cm and 9 cm. What is its area (in square cm)?
- 36.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
- 37.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
- 38.A room is 8 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
- 39.The diagonals of a rhombus are 14 cm and 15 cm. What is its area (in square cm)?
- 40.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
Answer key
- 2
- 1176
- 2
- 666
- 1734
- 120
- 378
- 161
- 320
- 11
- 207
- 8
- 55
- 40
- 190
- 96
- 24
- 1944
- 70
- 144
- 82
- 99
- 20
- 13
- 168
- 600
- 19
- 147
- 66
- 126
- 150
- 72
- 88
- 3
- 90
- 3750
- 130
- 128
- 105
- 726
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