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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 264 · 40 sums
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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. 1.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has an area of 330 square cm. Its parallel sides are 19 cm and 14 cm. What is the distance between them (in cm)?
  3. 3.A room is 9 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.A room is 3 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 9 cm and 12 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 21 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 7 cm and 4 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
  9. 9.A trapezium has parallel sides of 18 cm and 24 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 22 cm and 9 cm. What is its area (in square cm)?
  11. 11.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 155 square cm. Its parallel sides are 27 cm and 4 cm. What is the distance between them (in cm)?
  13. 13.A trapezium has parallel sides of 19 cm and 16 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  14. 14.A cuboid is 8 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  15. 15.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  16. 16.A room is 10 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.A trapezium has parallel sides of 20 cm and 24 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 20 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  19. 19.A trapezium has parallel sides of 11 cm and 5 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  20. 20.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  21. 21.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  22. 22.A cuboid is 10 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  23. 23.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  24. 24.A trapezium has an area of 57 square cm. Its parallel sides are 28 cm and 10 cm. What is the distance between them (in cm)?
  25. 25.The diagonals of a rhombus are 8 cm and 5 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 26 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 8 cm and 4 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  28. 28.A cuboid is 15 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has parallel sides of 11 cm and 27 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  30. 30.A trapezium has an area of 215 square cm. Its parallel sides are 21 cm and 22 cm. What is the distance between them (in cm)?
  31. 31.The diagonals of a rhombus are 6 cm and 28 cm. What is its area (in square cm)?
  32. 32.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  33. 33.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  35. 35.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  36. 36.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  37. 37.A cuboid is 9 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 11 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  39. 39.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.A cuboid is 13 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?

Answer key

  1. 14
  2. 20
  3. 112
  4. 72
  5. 42
  6. 87
  7. 77
  8. 60
  9. 399
  10. 99
  11. 1734
  12. 10
  13. 280
  14. 172
  15. 4
  16. 84
  17. 66
  18. 82
  19. 40
  20. 726
  21. 7
  22. 232
  23. 216
  24. 3
  25. 20
  26. 159
  27. 18
  28. 462
  29. 95
  30. 10
  31. 84
  32. 3174
  33. 84
  34. 80
  35. 2646
  36. 15
  37. 450
  38. 556
  39. 150
  40. 334

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