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 room is 8 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
- 2.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
- 3.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
- 4.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
- 5.A cuboid is 9 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 6.A cuboid is 12 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 7.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
- 8.A cuboid is 6 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 9.A trapezium has parallel sides of 20 cm and 25 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 10.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
- 11.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
- 12.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
- 13.The diagonals of a rhombus are 28 cm and 24 cm. What is its area (in square cm)?
- 14.A room is 4 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
- 15.A cuboid is 5 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 16.A trapezium has parallel sides of 9 cm and 4 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 17.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
- 18.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
- 19.The diagonals of a rhombus are 12 cm and 20 cm. What is its area (in square cm)?
- 20.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
- 21.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
- 22.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
- 23.A trapezium has parallel sides of 6 cm and 10 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 24.A trapezium has parallel sides of 16 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 25.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
- 26.A cuboid is 14 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 27.A trapezium has parallel sides of 6 cm and 16 cm, and the distance between them is 17 cm. What is its area (in square cm)?
- 28.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
- 29.The diagonals of a rhombus are 28 cm and 19 cm. What is its area (in square cm)?
- 30.The diagonals of a rhombus are 22 cm and 3 cm. What is its area (in square cm)?
- 31.A trapezium has an area of 62 square cm. Its parallel sides are 15 cm and 16 cm. What is the distance between them (in cm)?
- 32.A cuboid is 15 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 33.A trapezium has an area of 185 square cm. Its parallel sides are 20 cm and 17 cm. What is the distance between them (in cm)?
- 34.A trapezium has parallel sides of 22 cm and 11 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 35.A trapezium has an area of 74 square cm. Its parallel sides are 14 cm and 23 cm. What is the distance between them (in cm)?
- 36.The diagonals of a rhombus are 26 cm and 5 cm. What is its area (in square cm)?
- 37.A trapezium has an area of 65 square cm. Its parallel sides are 8 cm and 5 cm. What is the distance between them (in cm)?
- 38.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 39.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 40.A cuboid is 13 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
Answer key
- 96
- 15
- 72
- 216
- 246
- 352
- 2400
- 234
- 90
- 3456
- 108
- 3750
- 336
- 60
- 110
- 13
- 11
- 17
- 120
- 3174
- 108
- 30
- 80
- 205
- 486
- 292
- 187
- 14
- 266
- 33
- 4
- 306
- 10
- 330
- 4
- 65
- 10
- 54
- 3
- 352
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