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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 100 · 40 sums
TalentJR

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 3 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 25 cm and 21 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  3. 3.A trapezium has parallel sides of 9 cm and 22 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  4. 4.A cuboid is 4 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  5. 5.A cuboid is 15 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  6. 6.A cuboid is 3 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 16 cm and 23 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 160 square cm. Its parallel sides are 11 cm and 5 cm. What is the distance between them (in cm)?
  9. 9.A room is 12 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.A trapezium has an area of 420 square cm. Its parallel sides are 17 cm and 25 cm. What is the distance between them (in cm)?
  11. 11.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  12. 12.A cuboid is 4 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 16 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  14. 14.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  15. 15.A trapezium has an area of 320 square cm. Its parallel sides are 15 cm and 17 cm. What is the distance between them (in cm)?
  16. 16.The diagonals of a rhombus are 16 cm and 22 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 153 square cm. Its parallel sides are 22 cm and 29 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has an area of 129 square cm. Its parallel sides are 18 cm and 25 cm. What is the distance between them (in cm)?
  19. 19.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has parallel sides of 10 cm and 12 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  21. 21.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  22. 22.A trapezium has parallel sides of 22 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 30 cm and 13 cm. What is its area (in square cm)?
  24. 24.A room is 9 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.A trapezium has parallel sides of 25 cm and 5 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  27. 27.The diagonals of a rhombus are 22 cm and 24 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  29. 29.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  30. 30.A trapezium has an area of 72 square cm. Its parallel sides are 10 cm and 8 cm. What is the distance between them (in cm)?
  31. 31.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  32. 32.A room is 3 m long, 3 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 24 cm. What is its total surface area (in square cm)?
  34. 34.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  35. 35.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 12 cm and 17 cm. What is its area (in square cm)?
  38. 38.A room is 8 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  39. 39.The diagonals of a rhombus are 18 cm and 7 cm. What is its area (in square cm)?
  40. 40.A trapezium has parallel sides of 30 cm and 12 cm, and the distance between them is 15 cm. What is its area (in square cm)?

Answer key

  1. 108
  2. 253
  3. 31
  4. 210
  5. 378
  6. 122
  7. 184
  8. 20
  9. 200
  10. 20
  11. 2904
  12. 130
  13. 126
  14. 2
  15. 20
  16. 176
  17. 6
  18. 6
  19. 12
  20. 143
  21. 80
  22. 78
  23. 195
  24. 144
  25. 75
  26. 2400
  27. 264
  28. 17
  29. 20
  30. 8
  31. 4
  32. 36
  33. 3456
  34. 3
  35. 140
  36. 81
  37. 102
  38. 96
  39. 63
  40. 315

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