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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 285 · 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 10 cm and 24 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  3. 3.A trapezium has parallel sides of 28 cm and 20 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  4. 4.A room is 12 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 19 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  6. 6.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  7. 7.A cuboid is 12 cm long, 10 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 294 square cm. How long is each edge (in cm)?
  9. 9.A cuboid is 9 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  10. 10.A trapezium has an area of 63 square cm. Its parallel sides are 19 cm and 2 cm. What is the distance between them (in cm)?
  11. 11.A trapezium has parallel sides of 5 cm and 14 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  12. 12.A cuboid is 3 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 24 cm and 28 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 11 cm and 9 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  15. 15.A trapezium has an area of 209 square cm. Its parallel sides are 6 cm and 16 cm. What is the distance between them (in cm)?
  16. 16.A trapezium has an area of 96 square cm. Its parallel sides are 27 cm and 5 cm. What is the distance between them (in cm)?
  17. 17.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  18. 18.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  19. 19.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  20. 20.A trapezium has an area of 123 square cm. Its parallel sides are 29 cm and 12 cm. What is the distance between them (in cm)?
  21. 21.A trapezium has an area of 147 square cm. Its parallel sides are 24 cm and 25 cm. What is the distance between them (in cm)?
  22. 22.A cuboid is 11 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  23. 23.A trapezium has an area of 203 square cm. Its parallel sides are 26 cm and 3 cm. What is the distance between them (in cm)?
  24. 24.A trapezium has parallel sides of 24 cm and 26 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 19 cm and 5 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  26. 26.A cuboid is 9 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  27. 27.A room is 10 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.The diagonals of a rhombus are 22 cm and 13 cm. What is its area (in square cm)?
  29. 29.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  30. 30.A trapezium has parallel sides of 10 cm and 19 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  31. 31.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.A cuboid is 7 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has parallel sides of 14 cm and 22 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 16 cm and 30 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 342 square cm. Its parallel sides are 23 cm and 13 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has an area of 216 square cm. Its parallel sides are 18 cm and 9 cm. What is the distance between them (in cm)?
  38. 38.A trapezium has parallel sides of 17 cm and 5 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 88 square cm. Its parallel sides are 10 cm and 12 cm. What is the distance between them (in cm)?
  40. 40.The diagonals of a rhombus are 14 cm and 11 cm. What is its area (in square cm)?

Answer key

  1. 120
  2. 13
  3. 456
  4. 210
  5. 42
  6. 18
  7. 372
  8. 7
  9. 212
  10. 6
  11. 76
  12. 138
  13. 208
  14. 50
  15. 19
  16. 6
  17. 8
  18. 3456
  19. 3750
  20. 6
  21. 6
  22. 148
  23. 14
  24. 75
  25. 204
  26. 288
  27. 90
  28. 143
  29. 17
  30. 232
  31. 54
  32. 412
  33. 12
  34. 162
  35. 345
  36. 19
  37. 16
  38. 187
  39. 8
  40. 77

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