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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 276 · 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 4 cm and 17 cm. What is its area (in square cm)?
  2. 2.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 169 square cm. Its parallel sides are 10 cm and 16 cm. What is the distance between them (in cm)?
  4. 4.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has parallel sides of 7 cm and 25 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 11 cm and 26 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 17 cm and 4 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  8. 8.A cuboid is 6 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  9. 9.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has parallel sides of 15 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  12. 12.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has an area of 112 square cm. Its parallel sides are 13 cm and 3 cm. What is the distance between them (in cm)?
  14. 14.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  15. 15.A trapezium has an area of 57 square cm. Its parallel sides are 9 cm and 29 cm. What is the distance between them (in cm)?
  16. 16.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  17. 17.A cuboid is 15 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 225 square cm. Its parallel sides are 22 cm and 23 cm. What is the distance between them (in cm)?
  19. 19.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  20. 20.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.A cuboid is 10 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  22. 22.A cuboid is 6 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  23. 23.The diagonals of a rhombus are 16 cm and 14 cm. What is its area (in square cm)?
  24. 24.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
  25. 25.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  26. 26.A trapezium has parallel sides of 8 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  27. 27.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.A cuboid is 3 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  29. 29.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.The diagonals of a rhombus are 16 cm and 5 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
  32. 32.A trapezium has an area of 315 square cm. Its parallel sides are 10 cm and 25 cm. What is the distance between them (in cm)?
  33. 33.A cuboid is 12 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has an area of 198 square cm. Its parallel sides are 21 cm and 12 cm. What is the distance between them (in cm)?
  35. 35.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  36. 36.A trapezium has parallel sides of 13 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 14 cm and 11 cm. What is its area (in square cm)?
  38. 38.A cuboid is 7 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  39. 39.A room is 7 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  40. 40.A cuboid is 3 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?

Answer key

  1. 34
  2. 1350
  3. 13
  4. 294
  5. 80
  6. 259
  7. 63
  8. 396
  9. 96
  10. 2
  11. 81
  12. 14
  13. 14
  14. 20
  15. 3
  16. 12
  17. 516
  18. 10
  19. 1176
  20. 102
  21. 216
  22. 208
  23. 112
  24. 72
  25. 1014
  26. 60
  27. 72
  28. 182
  29. 190
  30. 40
  31. 44
  32. 18
  33. 434
  34. 12
  35. 7
  36. 63
  37. 77
  38. 350
  39. 136
  40. 268

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