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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 315 · 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 room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.A cuboid is 9 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 105 square cm. Its parallel sides are 5 cm and 10 cm. What is the distance between them (in cm)?
  4. 4.A trapezium has parallel sides of 23 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  6. 6.A room is 11 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.A room is 4 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  9. 9.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has parallel sides of 17 cm and 14 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  12. 12.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has an area of 81 square cm. Its parallel sides are 21 cm and 6 cm. What is the distance between them (in cm)?
  14. 14.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
  15. 15.The diagonals of a rhombus are 4 cm and 6 cm. What is its area (in square cm)?
  16. 16.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  17. 17.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  18. 18.A room is 4 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.A cuboid is 5 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 8 cm and 9 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  22. 22.A trapezium has an area of 39 square cm. Its parallel sides are 10 cm and 29 cm. What is the distance between them (in cm)?
  23. 23.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  24. 24.A room is 9 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  26. 26.A room is 9 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.A trapezium has parallel sides of 10 cm and 26 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  28. 28.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 224 square cm. Its parallel sides are 10 cm and 18 cm. What is the distance between them (in cm)?
  30. 30.A trapezium has parallel sides of 23 cm and 18 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 288 square cm. Its parallel sides are 22 cm and 26 cm. What is the distance between them (in cm)?
  32. 32.A trapezium has parallel sides of 25 cm and 30 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  33. 33.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
  34. 34.A room is 8 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  35. 35.A cuboid is 11 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 135 square cm. Its parallel sides are 6 cm and 12 cm. What is the distance between them (in cm)?
  37. 37.A cuboid is 13 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  38. 38.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  39. 39.A trapezium has parallel sides of 30 cm and 2 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  40. 40.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?

Answer key

  1. 128
  2. 246
  3. 14
  4. 60
  5. 1734
  6. 120
  7. 120
  8. 3750
  9. 96
  10. 9
  11. 93
  12. 20
  13. 6
  14. 112
  15. 12
  16. 2904
  17. 726
  18. 140
  19. 118
  20. 119
  21. 16
  22. 2
  23. 600
  24. 180
  25. 3174
  26. 144
  27. 90
  28. 1944
  29. 16
  30. 82
  31. 12
  32. 495
  33. 32
  34. 104
  35. 206
  36. 15
  37. 454
  38. 8
  39. 160
  40. 21

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