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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 277 · 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 26 cm and 25 cm. What is its area (in square cm)?
  2. 2.A cuboid is 14 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  3. 3.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 16 cm and 22 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 29 cm and 4 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  9. 9.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.A room is 11 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  11. 11.The diagonals of a rhombus are 18 cm and 8 cm. What is its area (in square cm)?
  12. 12.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  13. 13.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  14. 14.A cuboid is 10 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 136 square cm. Its parallel sides are 12 cm and 4 cm. What is the distance between them (in cm)?
  16. 16.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
  17. 17.A cuboid is 7 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  18. 18.A cuboid is 12 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  19. 19.A cuboid is 5 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  20. 20.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  21. 21.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  22. 22.A cuboid is 8 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  23. 23.A trapezium has an area of 92 square cm. Its parallel sides are 9 cm and 14 cm. What is the distance between them (in cm)?
  24. 24.The diagonals of a rhombus are 6 cm and 15 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 23 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 24 cm and 17 cm. What is its area (in square cm)?
  27. 27.A cuboid is 12 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 17 cm and 12 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 62 square cm. Its parallel sides are 27 cm and 4 cm. What is the distance between them (in cm)?
  30. 30.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  31. 31.A trapezium has an area of 192 square cm. Its parallel sides are 6 cm and 18 cm. What is the distance between them (in cm)?
  32. 32.The diagonals of a rhombus are 20 cm and 7 cm. What is its area (in square cm)?
  33. 33.A room is 10 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has parallel sides of 22 cm and 9 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  37. 37.The diagonals of a rhombus are 12 cm and 18 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 22 cm and 6 cm. What is its area (in square cm)?
  39. 39.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  40. 40.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 325
  2. 436
  3. 1176
  4. 176
  5. 726
  6. 13
  7. 198
  8. 3750
  9. 42
  10. 102
  11. 72
  12. 1734
  13. 4
  14. 522
  15. 17
  16. 15
  17. 154
  18. 272
  19. 210
  20. 9
  21. 1944
  22. 312
  23. 8
  24. 45
  25. 205
  26. 204
  27. 426
  28. 29
  29. 4
  30. 12
  31. 16
  32. 70
  33. 120
  34. 310
  35. 161
  36. 20
  37. 108
  38. 66
  39. 150
  40. 136

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