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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 316 · 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 28 cm and 6 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  3. 3.Each edge of a cube is 6 cm. What is its total surface 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 cuboid is 13 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 11 cm and 12 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 28 cm and 9 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 20 cm and 8 cm. What is its area (in square cm)?
  9. 9.A cuboid is 3 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  10. 10.A trapezium has parallel sides of 9 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  12. 12.A trapezium has an area of 132 square cm. Its parallel sides are 5 cm and 19 cm. What is the distance between them (in cm)?
  13. 13.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  14. 14.A trapezium has an area of 45 square cm. Its parallel sides are 10 cm and 5 cm. What is the distance between them (in cm)?
  15. 15.The diagonals of a rhombus are 4 cm and 13 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  17. 17.A cuboid is 12 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  18. 18.The diagonals of a rhombus are 14 cm and 9 cm. What is its area (in square cm)?
  19. 19.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  20. 20.A trapezium has an area of 25 square cm. Its parallel sides are 15 cm and 10 cm. What is the distance between them (in cm)?
  21. 21.A room is 4 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.A trapezium has an area of 290 square cm. Its parallel sides are 9 cm and 20 cm. What is the distance between them (in cm)?
  23. 23.The diagonals of a rhombus are 8 cm and 26 cm. What is its area (in square cm)?
  24. 24.A cuboid is 14 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has parallel sides of 26 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  26. 26.A trapezium has an area of 132 square cm. Its parallel sides are 15 cm and 9 cm. What is the distance between them (in cm)?
  27. 27.A trapezium has an area of 228 square cm. Its parallel sides are 12 cm and 26 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has an area of 58 square cm. Its parallel sides are 24 cm and 5 cm. What is the distance between them (in cm)?
  29. 29.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  31. 31.A cuboid is 11 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  32. 32.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  33. 33.A cuboid is 4 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has an area of 27 square cm. Its parallel sides are 4 cm and 5 cm. What is the distance between them (in cm)?
  35. 35.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 24 cm and 12 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 14 cm and 17 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 23 cm and 28 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  39. 39.A cuboid is 13 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  40. 40.A trapezium has parallel sides of 17 cm and 22 cm, and the distance between them is 8 cm. What is its area (in square cm)?

Answer key

  1. 84
  2. 10
  3. 216
  4. 1536
  5. 334
  6. 46
  7. 126
  8. 80
  9. 150
  10. 144
  11. 9
  12. 11
  13. 2646
  14. 6
  15. 26
  16. 7
  17. 358
  18. 63
  19. 150
  20. 2
  21. 96
  22. 20
  23. 104
  24. 666
  25. 147
  26. 11
  27. 12
  28. 4
  29. 70
  30. 96
  31. 336
  32. 8
  33. 148
  34. 6
  35. 1944
  36. 162
  37. 119
  38. 357
  39. 460
  40. 156

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