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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 183 · 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 diagonals of a rhombus are 4 cm and 23 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  3. 3.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  4. 4.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
  5. 5.A cuboid is 5 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  7. 7.A cuboid is 12 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  8. 8.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  9. 9.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.The diagonals of a rhombus are 26 cm and 20 cm. What is its area (in square cm)?
  11. 11.A cuboid is 8 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 6 cm and 27 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  14. 14.A room is 6 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  15. 15.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  16. 16.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.The diagonals of a rhombus are 18 cm and 10 cm. What is its area (in square cm)?
  19. 19.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  20. 20.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  21. 21.A cuboid is 15 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has an area of 246 square cm. Its parallel sides are 20 cm and 21 cm. What is the distance between them (in cm)?
  23. 23.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  25. 25.A trapezium has parallel sides of 7 cm and 17 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  27. 27.A cuboid is 4 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  28. 28.A cuboid is 4 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  29. 29.A cuboid is 6 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  30. 30.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  31. 31.A trapezium has an area of 70 square cm. Its parallel sides are 15 cm and 13 cm. What is the distance between them (in cm)?
  32. 32.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 140 square cm. Its parallel sides are 11 cm and 9 cm. What is the distance between them (in cm)?
  34. 34.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.A room is 9 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  36. 36.A cuboid is 15 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  37. 37.A room is 11 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has parallel sides of 27 cm and 15 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  39. 39.A room is 3 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  40. 40.A cuboid is 15 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?

Answer key

  1. 46
  2. 13
  3. 2
  4. 32
  5. 188
  6. 6
  7. 216
  8. 150
  9. 96
  10. 260
  11. 180
  12. 330
  13. 7
  14. 104
  15. 96
  16. 84
  17. 90
  18. 90
  19. 96
  20. 864
  21. 798
  22. 12
  23. 2166
  24. 10
  25. 228
  26. 384
  27. 208
  28. 168
  29. 248
  30. 4
  31. 5
  32. 726
  33. 14
  34. 90
  35. 128
  36. 510
  37. 102
  38. 63
  39. 48
  40. 310

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