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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 268 · 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 26 cm and 15 cm. What is its area (in square cm)?
  2. 2.A trapezium has an area of 145 square cm. Its parallel sides are 30 cm and 28 cm. What is the distance between them (in cm)?
  3. 3.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  4. 4.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  7. 7.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  8. 8.The diagonals of a rhombus are 14 cm and 5 cm. What is its area (in square cm)?
  9. 9.A room is 8 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  10. 10.A trapezium has parallel sides of 9 cm and 17 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  11. 11.A cuboid is 10 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  12. 12.A cuboid is 6 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  13. 13.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  14. 14.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  15. 15.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has parallel sides of 20 cm and 29 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 24 cm and 3 cm. What is its area (in square cm)?
  18. 18.A cuboid is 11 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  19. 19.A cuboid is 4 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  20. 20.The diagonals of a rhombus are 16 cm and 6 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  22. 22.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has an area of 42 square cm. Its parallel sides are 9 cm and 5 cm. What is the distance between them (in cm)?
  24. 24.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  25. 25.A trapezium has an area of 187 square cm. Its parallel sides are 20 cm and 2 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has an area of 423 square cm. Its parallel sides are 17 cm and 30 cm. What is the distance between them (in cm)?
  27. 27.A cuboid is 15 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 15 cm and 28 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  29. 29.A cuboid is 15 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  30. 30.A room is 12 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  32. 32.A trapezium has an area of 125 square cm. Its parallel sides are 17 cm and 8 cm. What is the distance between them (in cm)?
  33. 33.A trapezium has an area of 190 square cm. Its parallel sides are 12 cm and 7 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has an area of 76 square cm. Its parallel sides are 14 cm and 5 cm. What is the distance between them (in cm)?
  35. 35.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  36. 36.A room is 11 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  37. 37.A cuboid is 7 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  38. 38.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  39. 39.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  40. 40.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?

Answer key

  1. 195
  2. 5
  3. 108
  4. 54
  5. 384
  6. 14
  7. 5
  8. 35
  9. 120
  10. 39
  11. 216
  12. 216
  13. 60
  14. 726
  15. 16
  16. 294
  17. 36
  18. 262
  19. 108
  20. 48
  21. 486
  22. 6
  23. 6
  24. 150
  25. 17
  26. 18
  27. 470
  28. 301
  29. 424
  30. 102
  31. 15
  32. 10
  33. 20
  34. 8
  35. 4
  36. 120
  37. 190
  38. 17
  39. 864
  40. 24

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