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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 293 · 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 trapezium has an area of 40 square cm. Its parallel sides are 5 cm and 3 cm. What is the distance between them (in cm)?
  2. 2.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 38 square cm. Its parallel sides are 11 cm and 8 cm. What is the distance between them (in cm)?
  4. 4.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  5. 5.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  6. 6.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 5 cm and 18 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 30 cm and 21 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 77 square cm. Its parallel sides are 9 cm and 2 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 17 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 13 cm and 3 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  12. 12.A room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  13. 13.A trapezium has an area of 256 square cm. Its parallel sides are 20 cm and 12 cm. What is the distance between them (in cm)?
  14. 14.A trapezium has parallel sides of 23 cm and 4 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 4 cm and 12 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  16. 16.The diagonals of a rhombus are 12 cm and 14 cm. What is its area (in square cm)?
  17. 17.A room is 6 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.A trapezium has parallel sides of 22 cm and 4 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  20. 20.A trapezium has an area of 108 square cm. Its parallel sides are 13 cm and 14 cm. What is the distance between them (in cm)?
  21. 21.A room is 11 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 18 cm and 9 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  25. 25.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  27. 27.A cuboid is 12 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 9 cm and 28 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 175 square cm. Its parallel sides are 27 cm and 8 cm. What is the distance between them (in cm)?
  30. 30.A cuboid is 9 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  31. 31.A cuboid is 15 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  32. 32.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  33. 33.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has an area of 98 square cm. Its parallel sides are 23 cm and 26 cm. What is the distance between them (in cm)?
  35. 35.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 6 cm and 16 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 18 cm and 21 cm. What is its area (in square cm)?
  38. 38.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  39. 39.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  40. 40.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 10
  2. 726
  3. 4
  4. 20
  5. 54
  6. 2400
  7. 184
  8. 315
  9. 14
  10. 180
  11. 120
  12. 104
  13. 16
  14. 54
  15. 96
  16. 84
  17. 88
  18. 42
  19. 195
  20. 8
  21. 160
  22. 42
  23. 1536
  24. 108
  25. 96
  26. 100
  27. 216
  28. 296
  29. 10
  30. 318
  31. 230
  32. 13
  33. 70
  34. 4
  35. 150
  36. 99
  37. 189
  38. 18
  39. 2166
  40. 72

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