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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 54 · 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).

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  1. 1.A cuboid is 4 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  2. 2.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  3. 3.A trapezium has an area of 36 square cm. Its parallel sides are 27 cm and 9 cm. What is the distance between them (in cm)?
  4. 4.A room is 9 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  6. 6.The diagonals of a rhombus are 16 cm and 23 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 16 cm and 5 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 17 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  9. 9.A cuboid is 6 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 10 cm and 8 cm. What is its area (in square cm)?
  11. 11.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  12. 12.A cuboid is 14 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  13. 13.A room is 6 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  15. 15.The diagonals of a rhombus are 20 cm and 3 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 19 cm and 21 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 144 square cm. Its parallel sides are 4 cm and 20 cm. What is the distance between them (in cm)?
  18. 18.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  19. 19.A trapezium has an area of 210 square cm. Its parallel sides are 8 cm and 13 cm. What is the distance between them (in cm)?
  20. 20.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  22. 22.A cuboid is 7 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  23. 23.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.A trapezium has parallel sides of 8 cm and 18 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  25. 25.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has parallel sides of 28 cm and 24 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  27. 27.A cuboid is 9 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  28. 28.A cuboid is 9 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has parallel sides of 28 cm and 2 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  30. 30.A room is 6 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 19 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  33. 33.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has an area of 21 square cm. Its parallel sides are 12 cm and 2 cm. What is the distance between them (in cm)?
  35. 35.A cuboid is 12 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 154 square cm. Its parallel sides are 14 cm and 8 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has parallel sides of 24 cm and 9 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
  39. 39.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
  40. 40.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?

Answer key

  1. 88
  2. 16
  3. 2
  4. 102
  5. 17
  6. 184
  7. 40
  8. 69
  9. 252
  10. 40
  11. 143
  12. 376
  13. 160
  14. 600
  15. 30
  16. 260
  17. 12
  18. 15
  19. 20
  20. 90
  21. 19
  22. 286
  23. 120
  24. 260
  25. 70
  26. 130
  27. 150
  28. 230
  29. 75
  30. 130
  31. 1350
  32. 312
  33. 150
  34. 3
  35. 352
  36. 14
  37. 132
  38. 288
  39. 96
  40. 216

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