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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 147 · 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 cuboid is 4 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has an area of 243 square cm. Its parallel sides are 18 cm and 9 cm. What is the distance between them (in cm)?
  3. 3.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 30 cm and 11 cm. What is its area (in square cm)?
  5. 5.A cuboid is 6 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 14 cm and 30 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has parallel sides of 19 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  10. 10.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  11. 11.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  12. 12.The diagonals of a rhombus are 30 cm and 15 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  14. 14.The diagonals of a rhombus are 16 cm and 30 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 27 cm and 10 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  16. 16.The diagonals of a rhombus are 20 cm and 14 cm. What is its area (in square cm)?
  17. 17.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  18. 18.A trapezium has parallel sides of 14 cm and 9 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  19. 19.The diagonals of a rhombus are 24 cm and 28 cm. What is its area (in square cm)?
  20. 20.A trapezium has an area of 161 square cm. Its parallel sides are 14 cm and 9 cm. What is the distance between them (in cm)?
  21. 21.The diagonals of a rhombus are 12 cm and 4 cm. What is its area (in square cm)?
  22. 22.The diagonals of a rhombus are 24 cm and 29 cm. What is its area (in square cm)?
  23. 23.A cuboid is 5 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  24. 24.A trapezium has an area of 310 square cm. Its parallel sides are 17 cm and 14 cm. What is the distance between them (in cm)?
  25. 25.The diagonals of a rhombus are 20 cm and 3 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 21 cm and 8 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 16 cm and 26 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  29. 29.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  30. 30.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  31. 31.The diagonals of a rhombus are 28 cm and 17 cm. What is its area (in square cm)?
  32. 32.A room is 11 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.A trapezium has an area of 459 square cm. Its parallel sides are 25 cm and 26 cm. What is the distance between them (in cm)?
  34. 34.A trapezium has parallel sides of 20 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  35. 35.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  36. 36.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  37. 37.The diagonals of a rhombus are 14 cm and 28 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has an area of 180 square cm. Its parallel sides are 25 cm and 20 cm. What is the distance between them (in cm)?
  40. 40.The diagonals of a rhombus are 18 cm and 29 cm. What is its area (in square cm)?

Answer key

  1. 64
  2. 18
  3. 486
  4. 165
  5. 136
  6. 18
  7. 308
  8. 9
  9. 115
  10. 19
  11. 17
  12. 225
  13. 20
  14. 240
  15. 148
  16. 140
  17. 1734
  18. 115
  19. 336
  20. 14
  21. 24
  22. 348
  23. 258
  24. 20
  25. 30
  26. 174
  27. 1536
  28. 42
  29. 384
  30. 6
  31. 238
  32. 120
  33. 18
  34. 188
  35. 2646
  36. 54
  37. 196
  38. 600
  39. 8
  40. 261

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