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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 284 · 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 total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  2. 2.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  3. 3.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?
  7. 7.A cuboid is 13 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  8. 8.A trapezium has an area of 200 square cm. Its parallel sides are 6 cm and 14 cm. What is the distance between them (in cm)?
  9. 9.A cuboid is 14 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  10. 10.A trapezium has parallel sides of 9 cm and 22 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  11. 11.A cuboid is 9 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  12. 12.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  13. 13.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  14. 14.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)?
  15. 15.The diagonals of a rhombus are 30 cm and 20 cm. What is its area (in square cm)?
  16. 16.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  18. 18.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  19. 19.A trapezium has an area of 11 square cm. Its parallel sides are 6 cm and 5 cm. What is the distance between them (in cm)?
  20. 20.A trapezium has parallel sides of 25 cm and 17 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  21. 21.A trapezium has an area of 294 square cm. Its parallel sides are 20 cm and 29 cm. What is the distance between them (in cm)?
  22. 22.A trapezium has parallel sides of 7 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  23. 23.A cuboid is 7 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  24. 24.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.A cuboid is 3 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  26. 26.A trapezium has parallel sides of 14 cm and 22 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  27. 27.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  28. 28.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  29. 29.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 8 cm and 26 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 385 square cm. Its parallel sides are 25 cm and 30 cm. What is the distance between them (in cm)?
  32. 32.A trapezium has parallel sides of 5 cm and 19 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 6 cm and 10 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  34. 34.A cuboid is 7 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has an area of 111 square cm. Its parallel sides are 12 cm and 25 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has parallel sides of 27 cm and 14 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  37. 37.A cuboid is 13 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  38. 38.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
  39. 39.A room is 11 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has parallel sides of 20 cm and 3 cm, and the distance between them is 8 cm. What is its area (in square cm)?

Answer key

  1. 11
  2. 96
  3. 66
  4. 12
  5. 3174
  6. 95
  7. 270
  8. 20
  9. 436
  10. 279
  11. 174
  12. 7
  13. 19
  14. 204
  15. 300
  16. 120
  17. 216
  18. 4
  19. 2
  20. 378
  21. 12
  22. 57
  23. 318
  24. 78
  25. 32
  26. 270
  27. 9
  28. 64
  29. 1350
  30. 104
  31. 14
  32. 84
  33. 104
  34. 118
  35. 6
  36. 123
  37. 292
  38. 104
  39. 170
  40. 92

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