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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 176 · 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 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.A trapezium has an area of 204 square cm. Its parallel sides are 8 cm and 26 cm. What is the distance between them (in cm)?
  3. 3.A trapezium has parallel sides of 5 cm and 2 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  5. 5.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  6. 6.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  7. 7.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.A trapezium has an area of 24 square cm. Its parallel sides are 4 cm and 8 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has parallel sides of 7 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  10. 10.A cuboid is 11 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  11. 11.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  12. 12.A room is 9 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.A room is 12 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has parallel sides of 8 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  15. 15.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  16. 16.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.A cuboid is 15 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  19. 19.A cuboid is 3 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
  20. 20.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  21. 21.A trapezium has an area of 209 square cm. Its parallel sides are 28 cm and 10 cm. What is the distance between them (in cm)?
  22. 22.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has parallel sides of 9 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  24. 24.A room is 3 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.A trapezium has an area of 51 square cm. Its parallel sides are 13 cm and 4 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has an area of 24 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
  27. 27.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  28. 28.A cuboid is 12 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  29. 29.A room is 6 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.The diagonals of a rhombus are 6 cm and 20 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
  33. 33.The diagonals of a rhombus are 8 cm and 19 cm. What is its area (in square cm)?
  34. 34.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has an area of 414 square cm. Its parallel sides are 24 cm and 22 cm. What is the distance between them (in cm)?
  36. 36.A cuboid is 8 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  37. 37.The diagonals of a rhombus are 20 cm and 29 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 20 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 6 cm and 27 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  40. 40.A cuboid is 12 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?

Answer key

  1. 88
  2. 12
  3. 42
  4. 1944
  5. 9
  6. 1734
  7. 60
  8. 4
  9. 39
  10. 278
  11. 54
  12. 114
  13. 102
  14. 93
  15. 96
  16. 56
  17. 798
  18. 2904
  19. 158
  20. 3
  21. 11
  22. 64
  23. 11
  24. 56
  25. 6
  26. 2
  27. 1014
  28. 510
  29. 120
  30. 72
  31. 60
  32. 58
  33. 76
  34. 726
  35. 18
  36. 262
  37. 290
  38. 141
  39. 66
  40. 416

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