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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 241 · 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 cuboid is 6 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  2. 2.A cuboid is 13 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  3. 3.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  4. 4.A trapezium has parallel sides of 19 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 9 cm and 18 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 30 cm and 7 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 65 square cm. Its parallel sides are 11 cm and 15 cm. What is the distance between them (in cm)?
  8. 8.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?
  9. 9.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  10. 10.A room is 7 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.A trapezium has an area of 63 square cm. Its parallel sides are 19 cm and 23 cm. What is the distance between them (in cm)?
  12. 12.A cuboid is 10 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 23 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  14. 14.A room is 8 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  16. 16.The diagonals of a rhombus are 14 cm and 27 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 20 cm and 3 cm. What is its area (in square cm)?
  18. 18.A trapezium has an area of 216 square cm. Its parallel sides are 16 cm and 20 cm. What is the distance between them (in cm)?
  19. 19.The diagonals of a rhombus are 4 cm and 12 cm. What is its area (in square cm)?
  20. 20.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  21. 21.A cuboid is 15 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  22. 22.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  23. 23.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  24. 24.A cuboid is 7 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has an area of 28 square cm. Its parallel sides are 11 cm and 3 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has an area of 60 square cm. Its parallel sides are 21 cm and 9 cm. What is the distance between them (in cm)?
  27. 27.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  28. 28.The diagonals of a rhombus are 10 cm and 29 cm. What is its area (in square cm)?
  29. 29.A cuboid is 15 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  30. 30.A cuboid is 11 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  31. 31.A trapezium has an area of 180 square cm. Its parallel sides are 21 cm and 15 cm. What is the distance between them (in cm)?
  32. 32.A cuboid is 12 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  33. 33.A room is 3 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has parallel sides of 18 cm and 23 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  35. 35.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 20 cm and 7 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  37. 37.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  38. 38.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 20 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  40. 40.A cuboid is 5 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?

Answer key

  1. 216
  2. 142
  3. 294
  4. 48
  5. 108
  6. 222
  7. 5
  8. 81
  9. 4
  10. 130
  11. 3
  12. 328
  13. 215
  14. 72
  15. 70
  16. 189
  17. 30
  18. 12
  19. 24
  20. 2
  21. 900
  22. 72
  23. 130
  24. 102
  25. 4
  26. 4
  27. 6
  28. 145
  29. 550
  30. 278
  31. 10
  32. 352
  33. 104
  34. 164
  35. 1944
  36. 162
  37. 3456
  38. 24
  39. 140
  40. 426

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