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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 236 · 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).

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  1. 1.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has parallel sides of 16 cm and 4 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  4. 4.A cuboid is 7 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  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 14 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 4 cm and 20 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 18 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  9. 9.A trapezium has parallel sides of 6 cm and 14 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  10. 10.A cuboid is 3 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  11. 11.A cuboid is 4 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  12. 12.A cuboid is 4 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  13. 13.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  14. 14.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  15. 15.A trapezium has an area of 138 square cm. Its parallel sides are 14 cm and 9 cm. What is the distance between them (in cm)?
  16. 16.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.A cuboid is 9 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  18. 18.The diagonals of a rhombus are 10 cm and 11 cm. What is its area (in square cm)?
  19. 19.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has an area of 174 square cm. Its parallel sides are 9 cm and 20 cm. What is the distance between them (in cm)?
  21. 21.A room is 6 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  23. 23.A cuboid is 7 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  24. 24.A room is 4 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.The diagonals of a rhombus are 30 cm and 13 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 4 cm and 23 cm. What is its area (in square cm)?
  27. 27.A cuboid is 15 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  28. 28.The diagonals of a rhombus are 22 cm and 25 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 13 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  30. 30.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  31. 31.A trapezium has parallel sides of 19 cm and 9 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 10 cm and 16 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 29 cm and 10 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  34. 34.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  35. 35.A room is 11 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.A room is 8 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  37. 37.The diagonals of a rhombus are 6 cm and 12 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 5 cm and 22 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 4 cm and 2 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  40. 40.A room is 4 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 16
  2. 30
  3. 3456
  4. 100
  5. 17
  6. 112
  7. 40
  8. 189
  9. 140
  10. 52
  11. 64
  12. 136
  13. 3174
  14. 112
  15. 12
  16. 96
  17. 246
  18. 55
  19. 3
  20. 12
  21. 90
  22. 2
  23. 382
  24. 100
  25. 195
  26. 46
  27. 270
  28. 275
  29. 96
  30. 7
  31. 140
  32. 247
  33. 234
  34. 9
  35. 108
  36. 170
  37. 36
  38. 108
  39. 42
  40. 104

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