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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 198 · 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 1944 square cm. How long is each edge (in cm)?
  2. 2.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  3. 3.The diagonals of a rhombus are 12 cm and 15 cm. What is its area (in square cm)?
  4. 4.The diagonals of a rhombus are 14 cm and 7 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 29 cm and 2 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  6. 6.A cuboid is 6 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  7. 7.A cuboid is 8 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  8. 8.A trapezium has an area of 33 square cm. Its parallel sides are 11 cm and 22 cm. What is the distance between them (in cm)?
  9. 9.The diagonals of a rhombus are 26 cm and 7 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 14 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  11. 11.The diagonals of a rhombus are 18 cm and 6 cm. What is its area (in square cm)?
  12. 12.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.The diagonals of a rhombus are 6 cm and 6 cm. What is its area (in square cm)?
  14. 14.A cuboid is 11 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  15. 15.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has parallel sides of 27 cm and 6 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 20 cm and 22 cm. What is its area (in square cm)?
  18. 18.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  19. 19.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.A cuboid is 13 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has an area of 264 square cm. Its parallel sides are 17 cm and 16 cm. What is the distance between them (in cm)?
  22. 22.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  23. 23.The diagonals of a rhombus are 12 cm and 7 cm. What is its area (in square 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 parallel sides of 25 cm and 22 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  27. 27.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.A cuboid is 7 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has parallel sides of 21 cm and 3 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  30. 30.A trapezium has an area of 297 square cm. Its parallel sides are 4 cm and 29 cm. What is the distance between them (in cm)?
  31. 31.A trapezium has an area of 441 square cm. Its parallel sides are 30 cm and 19 cm. What is the distance between them (in cm)?
  32. 32.A cuboid is 5 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  33. 33.A room is 11 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  35. 35.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has an area of 58 square cm. Its parallel sides are 17 cm and 12 cm. What is the distance between them (in cm)?
  37. 37.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  38. 38.The diagonals of a rhombus are 30 cm and 7 cm. What is its area (in square cm)?
  39. 39.A room is 12 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has parallel sides of 15 cm and 24 cm, and the distance between them is 16 cm. What is its area (in square cm)?

Answer key

  1. 18
  2. 1944
  3. 90
  4. 49
  5. 186
  6. 72
  7. 152
  8. 2
  9. 91
  10. 30
  11. 54
  12. 72
  13. 18
  14. 290
  15. 6
  16. 66
  17. 220
  18. 11
  19. 102
  20. 342
  21. 16
  22. 2646
  23. 42
  24. 122
  25. 47
  26. 16
  27. 48
  28. 154
  29. 48
  30. 18
  31. 18
  32. 258
  33. 120
  34. 384
  35. 108
  36. 4
  37. 80
  38. 105
  39. 168
  40. 312

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