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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 321 · 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 room is 6 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.A trapezium has parallel sides of 21 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  3. 3.A trapezium has an area of 258 square cm. Its parallel sides are 26 cm and 17 cm. What is the distance between them (in cm)?
  4. 4.A room is 9 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  6. 6.A cuboid is 14 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  7. 7.A cuboid is 4 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  8. 8.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.A cuboid is 9 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  10. 10.A trapezium has an area of 175 square cm. Its parallel sides are 13 cm and 12 cm. What is the distance between them (in cm)?
  11. 11.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
  12. 12.A cuboid is 5 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has an area of 294 square cm. Its parallel sides are 24 cm and 25 cm. What is the distance between them (in cm)?
  14. 14.A cuboid is 3 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 5 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 9 cm and 8 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  17. 17.A trapezium has parallel sides of 17 cm and 25 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  18. 18.A cuboid is 4 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  19. 19.A cuboid is 6 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  20. 20.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 17 cm and 28 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  22. 22.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)?
  23. 23.A trapezium has an area of 84 square cm. Its parallel sides are 11 cm and 10 cm. What is the distance between them (in cm)?
  24. 24.A room is 8 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.A room is 4 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has parallel sides of 10 cm and 17 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 8 cm and 3 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  28. 28.A cuboid is 13 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  29. 29.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  30. 30.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  31. 31.A trapezium has parallel sides of 5 cm and 29 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  32. 32.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  33. 33.A trapezium has parallel sides of 22 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 18 cm and 17 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 21 cm and 28 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  36. 36.A cuboid is 12 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  37. 37.A room is 6 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.A cuboid is 5 cm long, 12 cm wide and 6 cm high. What is its total surface 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 trapezium has an area of 189 square cm. Its parallel sides are 4 cm and 17 cm. What is the distance between them (in cm)?

Answer key

  1. 150
  2. 145
  3. 12
  4. 144
  5. 294
  6. 184
  7. 224
  8. 160
  9. 598
  10. 14
  11. 58
  12. 126
  13. 12
  14. 372
  15. 24
  16. 136
  17. 357
  18. 122
  19. 198
  20. 2400
  21. 450
  22. 63
  23. 8
  24. 104
  25. 104
  26. 27
  27. 77
  28. 292
  29. 5
  30. 7
  31. 289
  32. 84
  33. 200
  34. 153
  35. 294
  36. 480
  37. 90
  38. 324
  39. 150
  40. 18

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