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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 78 · 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 5 cm and 12 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  2. 2.A cuboid is 10 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 174 square cm. Its parallel sides are 6 cm and 23 cm. What is the distance between them (in cm)?
  4. 4.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  5. 5.The diagonals of a rhombus are 22 cm and 22 cm. What is its area (in square cm)?
  6. 6.A cuboid is 8 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 20 cm and 30 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  9. 9.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.A trapezium has an area of 304 square cm. Its parallel sides are 5 cm and 27 cm. What is the distance between them (in cm)?
  11. 11.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  12. 12.A cuboid is 13 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  13. 13.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  14. 14.A cuboid is 14 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 39 square cm. Its parallel sides are 17 cm and 22 cm. What is the distance between them (in cm)?
  16. 16.A trapezium has an area of 162 square cm. Its parallel sides are 23 cm and 13 cm. What is the distance between them (in cm)?
  17. 17.A trapezium has an area of 135 square cm. Its parallel sides are 9 cm and 18 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has parallel sides of 25 cm and 27 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  19. 19.A trapezium has parallel sides of 11 cm and 9 cm, and the distance between them is 15 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.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  22. 22.A trapezium has parallel sides of 8 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 28 cm and 10 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 9 cm and 25 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  25. 25.A cuboid is 6 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  26. 26.The diagonals of a rhombus are 16 cm and 21 cm. What is its area (in square cm)?
  27. 27.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  28. 28.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  29. 29.A cuboid is 13 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  30. 30.A cuboid is 15 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 25 cm and 26 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  32. 32.A cuboid is 4 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  34. 34.The diagonals of a rhombus are 8 cm and 29 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 30 cm and 23 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 23 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  37. 37.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  38. 38.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  39. 39.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  40. 40.The diagonals of a rhombus are 8 cm and 19 cm. What is its area (in square cm)?

Answer key

  1. 34
  2. 412
  3. 12
  4. 12
  5. 242
  6. 320
  7. 300
  8. 19
  9. 72
  10. 19
  11. 80
  12. 274
  13. 36
  14. 712
  15. 2
  16. 9
  17. 10
  18. 104
  19. 150
  20. 2
  21. 8
  22. 66
  23. 140
  24. 102
  25. 236
  26. 168
  27. 20
  28. 1536
  29. 382
  30. 558
  31. 102
  32. 192
  33. 10
  34. 116
  35. 424
  36. 270
  37. 294
  38. 2166
  39. 384
  40. 76

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