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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 55 · 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 parallel sides of 4 cm and 24 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  2. 2.The diagonals of a rhombus are 6 cm and 12 cm. What is its area (in square cm)?
  3. 3.A cuboid is 4 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  4. 4.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  5. 5.A trapezium has parallel sides of 10 cm and 8 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  6. 6.A cuboid is 8 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 7 cm and 11 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  8. 8.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  9. 9.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  10. 10.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  11. 11.A room is 11 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  12. 12.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  13. 13.A trapezium has parallel sides of 27 cm and 15 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  14. 14.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  15. 15.The diagonals of a rhombus are 16 cm and 9 cm. What is its area (in square cm)?
  16. 16.The diagonals of a rhombus are 16 cm and 24 cm. What is its area (in square cm)?
  17. 17.A cuboid is 12 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 252 square cm. Its parallel sides are 26 cm and 2 cm. What is the distance between them (in cm)?
  19. 19.A room is 9 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  22. 22.A trapezium has an area of 80 square cm. Its parallel sides are 5 cm and 27 cm. What is the distance between them (in cm)?
  23. 23.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  25. 25.A trapezium has parallel sides of 19 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 16 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  28. 28.A room is 8 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  30. 30.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  31. 31.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  32. 32.A room is 6 m long, 4 m wide and 5 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.A cuboid is 14 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  35. 35.A room is 3 m long, 5 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 24 cm. What is its area (in square cm)?
  37. 37.A cuboid is 11 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  38. 38.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  39. 39.The diagonals of a rhombus are 22 cm and 19 cm. What is its area (in square cm)?
  40. 40.A cuboid is 5 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?

Answer key

  1. 28
  2. 36
  3. 52
  4. 19
  5. 63
  6. 158
  7. 27
  8. 78
  9. 7
  10. 9
  11. 160
  12. 150
  13. 252
  14. 18
  15. 72
  16. 192
  17. 328
  18. 18
  19. 144
  20. 66
  21. 1536
  22. 5
  23. 294
  24. 6
  25. 33
  26. 252
  27. 216
  28. 120
  29. 90
  30. 96
  31. 3750
  32. 100
  33. 3456
  34. 574
  35. 80
  36. 72
  37. 404
  38. 10
  39. 209
  40. 126

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