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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 114 · 40 sums
TalentJR

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 2400 square cm. How long is each edge (in cm)?
  2. 2.The diagonals of a rhombus are 22 cm and 4 cm. What is its area (in square cm)?
  3. 3.A cuboid is 11 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 8 cm and 4 cm. What is its area (in square cm)?
  5. 5.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  6. 6.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  8. 8.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  9. 9.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  10. 10.A trapezium has parallel sides of 11 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 28 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  12. 12.A cuboid is 15 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 16 cm and 27 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  14. 14.A cuboid is 14 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 4 cm and 17 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  16. 16.A cuboid is 8 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  17. 17.The diagonals of a rhombus are 22 cm and 17 cm. What is its area (in square cm)?
  18. 18.A trapezium has an area of 60 square cm. Its parallel sides are 21 cm and 19 cm. What is the distance between them (in cm)?
  19. 19.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  20. 20.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  21. 21.A cuboid is 8 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  22. 22.A cuboid is 6 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  23. 23.A trapezium has parallel sides of 18 cm and 7 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  24. 24.A cuboid is 9 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  25. 25.A cuboid is 14 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  26. 26.A trapezium has an area of 192 square cm. Its parallel sides are 20 cm and 4 cm. What is the distance between them (in cm)?
  27. 27.A trapezium has parallel sides of 18 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 4 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 23 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  30. 30.A cuboid is 6 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 8 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 20 cm and 13 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 4 cm and 24 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 6 cm and 26 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 20 cm and 19 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 25 cm and 13 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  37. 37.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  38. 38.A cuboid is 5 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 22 cm and 19 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. 20
  2. 44
  3. 514
  4. 16
  5. 80
  6. 96
  7. 18
  8. 16
  9. 216
  10. 42
  11. 34
  12. 306
  13. 301
  14. 482
  15. 63
  16. 352
  17. 187
  18. 3
  19. 13
  20. 12
  21. 208
  22. 168
  23. 75
  24. 342
  25. 390
  26. 16
  27. 264
  28. 21
  29. 75
  30. 108
  31. 57
  32. 99
  33. 28
  34. 160
  35. 190
  36. 228
  37. 72
  38. 62
  39. 209
  40. 3

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