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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 29 · 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.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  2. 2.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  3. 3.A trapezium has parallel sides of 8 cm and 13 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 18 cm and 30 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 5 cm and 30 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  6. 6.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 14 cm and 14 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 30 cm and 4 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 14 cm and 24 cm. What is its area (in square cm)?
  10. 10.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  11. 11.A trapezium has an area of 265 square cm. Its parallel sides are 28 cm and 25 cm. What is the distance between them (in cm)?
  12. 12.A trapezium has parallel sides of 7 cm and 4 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  13. 13.A cuboid is 11 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  14. 14.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?
  15. 15.A room is 8 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  16. 16.A cuboid is 4 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
  17. 17.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  18. 18.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.A trapezium has an area of 88 square cm. Its parallel sides are 20 cm and 2 cm. What is the distance between them (in cm)?
  20. 20.The diagonals of a rhombus are 22 cm and 6 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  22. 22.The diagonals of a rhombus are 30 cm and 30 cm. What is its area (in square cm)?
  23. 23.A trapezium has an area of 240 square cm. Its parallel sides are 23 cm and 25 cm. What is the distance between them (in cm)?
  24. 24.A cuboid is 4 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has an area of 357 square cm. Its parallel sides are 13 cm and 29 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has an area of 42 square cm. Its parallel sides are 12 cm and 2 cm. What is the distance between them (in cm)?
  27. 27.A trapezium has an area of 264 square cm. Its parallel sides are 11 cm and 22 cm. What is the distance between them (in cm)?
  28. 28.A cuboid is 3 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  29. 29.A room is 12 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.A trapezium has parallel sides of 11 cm and 30 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  32. 32.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  33. 33.A cuboid is 9 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  34. 34.The diagonals of a rhombus are 18 cm and 24 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 20 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  36. 36.A cuboid is 12 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 21 cm and 24 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  38. 38.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  39. 39.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  40. 40.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?

Answer key

  1. 600
  2. 96
  3. 21
  4. 168
  5. 350
  6. 3174
  7. 98
  8. 60
  9. 168
  10. 102
  11. 10
  12. 44
  13. 478
  14. 95
  15. 140
  16. 184
  17. 18
  18. 90
  19. 8
  20. 66
  21. 9
  22. 450
  23. 10
  24. 122
  25. 17
  26. 6
  27. 16
  28. 42
  29. 190
  30. 410
  31. 2400
  32. 3
  33. 258
  34. 216
  35. 320
  36. 624
  37. 405
  38. 60
  39. 8
  40. 70

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