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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 263 · 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 24 cm and 21 cm. What is its area (in square cm)?
  2. 2.The diagonals of a rhombus are 16 cm and 25 cm. What is its area (in square cm)?
  3. 3.A trapezium has an area of 13 square cm. Its parallel sides are 11 cm and 2 cm. What is the distance between them (in cm)?
  4. 4.The diagonals of a rhombus are 18 cm and 17 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 22 cm and 18 cm. What is its area (in square cm)?
  7. 7.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  8. 8.A trapezium has parallel sides of 25 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  9. 9.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  10. 10.A trapezium has parallel sides of 9 cm and 8 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  11. 11.A cuboid is 11 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 128 square cm. Its parallel sides are 22 cm and 10 cm. What is the distance between them (in cm)?
  13. 13.A trapezium has an area of 128 square cm. Its parallel sides are 18 cm and 14 cm. What is the distance between them (in cm)?
  14. 14.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  15. 15.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  16. 16.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
  17. 17.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  18. 18.A cuboid is 4 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  19. 19.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  20. 20.A cuboid is 6 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has an area of 133 square cm. Its parallel sides are 6 cm and 8 cm. What is the distance between them (in cm)?
  22. 22.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 7 cm and 5 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 11 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  25. 25.A cuboid is 11 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  26. 26.The diagonals of a rhombus are 4 cm and 20 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 27 cm and 24 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 19 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 27 cm and 19 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  30. 30.The diagonals of a rhombus are 8 cm and 21 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 375 square cm. Its parallel sides are 23 cm and 27 cm. What is the distance between them (in cm)?
  32. 32.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  33. 33.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  34. 34.A cuboid is 3 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  35. 35.A cuboid is 7 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 8 cm and 20 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 225 square cm. Its parallel sides are 19 cm and 26 cm. What is the distance between them (in 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 parallel sides of 23 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  40. 40.A trapezium has parallel sides of 13 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?

Answer key

  1. 252
  2. 200
  3. 2
  4. 153
  5. 2166
  6. 198
  7. 7
  8. 135
  9. 2
  10. 119
  11. 302
  12. 8
  13. 8
  14. 2904
  15. 4
  16. 15
  17. 16
  18. 384
  19. 294
  20. 128
  21. 19
  22. 136
  23. 66
  24. 111
  25. 550
  26. 40
  27. 102
  28. 84
  29. 368
  30. 84
  31. 15
  32. 72
  33. 2646
  34. 222
  35. 100
  36. 42
  37. 10
  38. 600
  39. 129
  40. 19

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