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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 50 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The diagonals of a rhombus are 4 cm and 30 cm. What is its area (in square cm)?
  2. 2.A cuboid is 4 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has parallel sides of 10 cm and 6 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 23 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  5. 5.The diagonals of a rhombus are 4 cm and 24 cm. What is its area (in square cm)?
  6. 6.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  7. 7.A cuboid is 10 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  8. 8.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has parallel sides of 19 cm and 8 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 221 square cm. Its parallel sides are 15 cm and 11 cm. What is the distance between them (in cm)?
  11. 11.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  12. 12.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  13. 13.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  14. 14.The diagonals of a rhombus are 16 cm and 6 cm. What is its area (in square cm)?
  15. 15.A cuboid is 3 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 96 square cm. Its parallel sides are 12 cm and 20 cm. What is the distance between them (in cm)?
  17. 17.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  18. 18.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  19. 19.A cuboid is 6 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 30 cm and 15 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  22. 22.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has an area of 297 square cm. Its parallel sides are 29 cm and 25 cm. What is the distance between them (in cm)?
  24. 24.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  25. 25.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  26. 26.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  27. 27.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  28. 28.A trapezium has an area of 52 square cm. Its parallel sides are 7 cm and 19 cm. What is the distance between them (in cm)?
  29. 29.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  30. 30.A trapezium has an area of 95 square cm. Its parallel sides are 12 cm and 26 cm. What is the distance between them (in cm)?
  31. 31.A trapezium has parallel sides of 8 cm and 21 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  32. 32.A cuboid is 11 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  33. 33.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 26 cm and 2 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 12 cm and 3 cm. What is its area (in square cm)?
  36. 36.A cuboid is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  37. 37.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  38. 38.A trapezium has an area of 390 square cm. Its parallel sides are 29 cm and 10 cm. What is the distance between them (in cm)?
  39. 39.A trapezium has parallel sides of 13 cm and 15 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  40. 40.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?

Answer key

  1. 60
  2. 148
  3. 112
  4. 39
  5. 48
  6. 2904
  7. 190
  8. 9
  9. 27
  10. 17
  11. 17
  12. 70
  13. 42
  14. 48
  15. 32
  16. 6
  17. 6
  18. 5
  19. 292
  20. 45
  21. 600
  22. 11
  23. 11
  24. 1536
  25. 294
  26. 13
  27. 18
  28. 4
  29. 8
  30. 5
  31. 87
  32. 238
  33. 1350
  34. 126
  35. 18
  36. 318
  37. 3750
  38. 20
  39. 140
  40. 3

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