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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 8 · 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 an area of 315 square cm. Its parallel sides are 28 cm and 17 cm. What is the distance between them (in cm)?
  2. 2.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  3. 3.The diagonals of a rhombus are 22 cm and 8 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has an area of 51 square cm. Its parallel sides are 30 cm and 4 cm. What is the distance between them (in cm)?
  6. 6.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  7. 7.A cuboid is 3 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  8. 8.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  9. 9.The diagonals of a rhombus are 22 cm and 9 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 63 square cm. Its parallel sides are 13 cm and 8 cm. What is the distance between them (in cm)?
  11. 11.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  12. 12.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.The diagonals of a rhombus are 8 cm and 30 cm. What is its area (in square cm)?
  14. 14.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.A room is 7 m long, 9 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 18 cm and 9 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 42 square cm. Its parallel sides are 22 cm and 20 cm. What is the distance between them (in cm)?
  18. 18.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.A trapezium has parallel sides of 16 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  20. 20.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  21. 21.A trapezium has an area of 140 square cm. Its parallel sides are 30 cm and 5 cm. What is the distance between them (in cm)?
  22. 22.The diagonals of a rhombus are 22 cm and 24 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 19 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 315 square cm. Its parallel sides are 9 cm and 26 cm. What is the distance between them (in cm)?
  25. 25.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  26. 26.A cuboid is 3 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 28 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  28. 28.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
  29. 29.A cuboid is 12 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  30. 30.A cuboid is 5 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 8 cm and 4 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 28 cm and 4 cm. What is its area (in square cm)?
  33. 33.The diagonals of a rhombus are 30 cm and 17 cm. What is its area (in square cm)?
  34. 34.A cuboid is 14 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has an area of 330 square cm. Its parallel sides are 14 cm and 19 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has an area of 390 square cm. Its parallel sides are 23 cm and 29 cm. What is the distance between them (in cm)?
  37. 37.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  38. 38.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  39. 39.A trapezium has parallel sides of 17 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  40. 40.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?

Answer key

  1. 14
  2. 1176
  3. 88
  4. 1536
  5. 3
  6. 486
  7. 42
  8. 2
  9. 99
  10. 6
  11. 2166
  12. 102
  13. 120
  14. 160
  15. 160
  16. 81
  17. 2
  18. 72
  19. 100
  20. 2646
  21. 8
  22. 264
  23. 63
  24. 18
  25. 12
  26. 126
  27. 38
  28. 120
  29. 352
  30. 188
  31. 16
  32. 56
  33. 255
  34. 312
  35. 20
  36. 15
  37. 9
  38. 5
  39. 185
  40. 16

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