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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 40 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  2. 2.The diagonals of a rhombus are 18 cm and 22 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has an area of 13 square cm. Its parallel sides are 10 cm and 3 cm. What is the distance between them (in cm)?
  5. 5.A cuboid is 12 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 10 cm and 15 cm. What is its area (in square cm)?
  7. 7.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  9. 9.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  10. 10.A trapezium has an area of 123 square cm. Its parallel sides are 13 cm and 28 cm. What is the distance between them (in cm)?
  11. 11.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 27 cm and 18 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  13. 13.A trapezium has an area of 24 square cm. Its parallel sides are 13 cm and 11 cm. What is the distance between them (in cm)?
  14. 14.A cuboid is 15 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 416 square cm. Its parallel sides are 30 cm and 22 cm. What is the distance between them (in cm)?
  16. 16.A trapezium has an area of 132 square cm. Its parallel sides are 18 cm and 15 cm. What is the distance between them (in cm)?
  17. 17.A cuboid is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  18. 18.A room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  20. 20.A cuboid is 3 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  21. 21.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  22. 22.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  23. 23.The diagonals of a rhombus are 16 cm and 5 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 4 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  25. 25.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.The diagonals of a rhombus are 22 cm and 10 cm. What is its area (in square cm)?
  27. 27.A trapezium has an area of 50 square cm. Its parallel sides are 6 cm and 14 cm. What is the distance between them (in cm)?
  28. 28.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.A trapezium has an area of 48 square cm. Its parallel sides are 15 cm and 17 cm. What is the distance between them (in cm)?
  30. 30.A room is 4 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  32. 32.A trapezium has an area of 144 square cm. Its parallel sides are 23 cm and 9 cm. What is the distance between them (in cm)?
  33. 33.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  34. 34.A cuboid is 15 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.The diagonals of a rhombus are 12 cm and 10 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  37. 37.A trapezium has parallel sides of 24 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 8 cm and 14 cm. What is its area (in square cm)?
  39. 39.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?

Answer key

  1. 3
  2. 198
  3. 15
  4. 2
  5. 592
  6. 75
  7. 60
  8. 3456
  9. 486
  10. 6
  11. 1734
  12. 135
  13. 2
  14. 390
  15. 16
  16. 8
  17. 318
  18. 104
  19. 1176
  20. 246
  21. 9
  22. 16
  23. 40
  24. 7
  25. 96
  26. 110
  27. 5
  28. 120
  29. 3
  30. 110
  31. 96
  32. 9
  33. 2904
  34. 128
  35. 60
  36. 4
  37. 162
  38. 56
  39. 42
  40. 8

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