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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 75 · 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.A trapezium has parallel sides of 8 cm and 6 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  2. 2.A cuboid is 4 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  3. 3.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  4. 4.The diagonals of a rhombus are 30 cm and 24 cm. What is its area (in square cm)?
  5. 5.A trapezium has an area of 275 square cm. Its parallel sides are 26 cm and 29 cm. What is the distance between them (in cm)?
  6. 6.The diagonals of a rhombus are 24 cm and 26 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 11 cm and 8 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  8. 8.A cuboid is 9 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  9. 9.A room is 11 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  10. 10.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  11. 11.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  12. 12.A cuboid is 14 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has an area of 220 square cm. Its parallel sides are 14 cm and 26 cm. What is the distance between them (in cm)?
  14. 14.A cuboid is 5 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  15. 15.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)?
  16. 16.The diagonals of a rhombus are 12 cm and 29 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 24 cm and 29 cm. What is its area (in square cm)?
  18. 18.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  19. 19.The diagonals of a rhombus are 30 cm and 22 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 30 cm and 25 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 28 cm and 30 cm. What is its area (in square cm)?
  22. 22.The diagonals of a rhombus are 10 cm and 15 cm. What is its area (in square cm)?
  23. 23.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  24. 24.A trapezium has an area of 80 square cm. Its parallel sides are 14 cm and 18 cm. What is the distance between them (in cm)?
  25. 25.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  26. 26.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  27. 27.A cuboid is 8 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  28. 28.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  29. 29.A cuboid is 4 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 22 cm and 3 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 22 cm and 14 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  33. 33.A trapezium has an area of 374 square cm. Its parallel sides are 26 cm and 18 cm. What is the distance between them (in cm)?
  34. 34.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  35. 35.A cuboid is 5 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 39 square cm. Its parallel sides are 5 cm and 21 cm. What is the distance between them (in cm)?
  37. 37.A cuboid is 5 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 29 cm and 16 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 5 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  40. 40.A trapezium has parallel sides of 30 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?

Answer key

  1. 91
  2. 150
  3. 18
  4. 360
  5. 10
  6. 312
  7. 19
  8. 278
  9. 128
  10. 12
  11. 150
  12. 312
  13. 11
  14. 460
  15. 69
  16. 174
  17. 348
  18. 864
  19. 330
  20. 330
  21. 420
  22. 75
  23. 10
  24. 5
  25. 1350
  26. 9
  27. 246
  28. 7
  29. 192
  30. 33
  31. 1944
  32. 90
  33. 17
  34. 2
  35. 118
  36. 3
  37. 236
  38. 450
  39. 21
  40. 98

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