← Mensuration: trapezium, cuboid and cube lesson New set →

Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 238 · 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.A trapezium has an area of 82 square cm. Its parallel sides are 24 cm and 17 cm. What is the distance between them (in cm)?
  2. 2.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 4 cm and 20 cm. What is its area (in square cm)?
  5. 5.A trapezium has an area of 172 square cm. Its parallel sides are 23 cm and 20 cm. What is the distance between them (in cm)?
  6. 6.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has an area of 96 square cm. Its parallel sides are 21 cm and 27 cm. What is the distance between them (in cm)?
  8. 8.A trapezium has an area of 105 square cm. Its parallel sides are 4 cm and 26 cm. What is the distance between them (in cm)?
  9. 9.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  10. 10.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has an area of 60 square cm. Its parallel sides are 25 cm and 15 cm. What is the distance between them (in cm)?
  12. 12.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  13. 13.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  14. 14.A cuboid is 8 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  15. 15.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  16. 16.A cuboid is 4 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  17. 17.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  18. 18.A room is 4 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 441 square cm. Its parallel sides are 25 cm and 24 cm. What is the distance between them (in cm)?
  20. 20.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 24 cm and 9 cm. What is its area (in square cm)?
  22. 22.A cuboid is 11 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  23. 23.A trapezium has parallel sides of 27 cm and 4 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  24. 24.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  26. 26.A trapezium has parallel sides of 5 cm and 10 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  27. 27.A trapezium has an area of 48 square cm. Its parallel sides are 8 cm and 24 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has parallel sides of 13 cm and 17 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 12 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  30. 30.The diagonals of a rhombus are 14 cm and 29 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 10 cm and 6 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 29 cm and 16 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 16 cm and 8 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 30 cm and 21 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 11 cm and 6 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  37. 37.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  38. 38.A trapezium has an area of 287 square cm. Its parallel sides are 26 cm and 15 cm. What is the distance between them (in cm)?
  39. 39.The diagonals of a rhombus are 6 cm and 18 cm. What is its area (in square cm)?
  40. 40.A trapezium has an area of 99 square cm. Its parallel sides are 16 cm and 17 cm. What is the distance between them (in cm)?

Answer key

  1. 4
  2. 55
  3. 2400
  4. 40
  5. 8
  6. 486
  7. 4
  8. 7
  9. 2
  10. 10
  11. 3
  12. 384
  13. 8
  14. 112
  15. 150
  16. 306
  17. 3174
  18. 80
  19. 18
  20. 294
  21. 108
  22. 328
  23. 186
  24. 152
  25. 7
  26. 75
  27. 3
  28. 225
  29. 41
  30. 203
  31. 81
  32. 120
  33. 135
  34. 64
  35. 459
  36. 102
  37. 2646
  38. 14
  39. 54
  40. 6

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets