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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 135 · 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.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  2. 2.A room is 11 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.A cuboid is 13 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  4. 4.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  5. 5.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  7. 7.A room is 8 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  8. 8.The diagonals of a rhombus are 26 cm and 9 cm. What is its area (in square cm)?
  9. 9.A cuboid is 12 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  10. 10.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.A trapezium has parallel sides of 18 cm and 23 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 8 cm and 10 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 26 cm and 22 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 18 cm and 2 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  15. 15.A trapezium has an area of 76 square cm. Its parallel sides are 6 cm and 13 cm. What is the distance between them (in cm)?
  16. 16.The diagonals of a rhombus are 8 cm and 22 cm. What is its area (in square cm)?
  17. 17.A trapezium has parallel sides of 10 cm and 23 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  18. 18.The diagonals of a rhombus are 12 cm and 6 cm. What is its area (in square cm)?
  19. 19.The diagonals of a rhombus are 30 cm and 14 cm. What is its area (in square cm)?
  20. 20.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.A trapezium has parallel sides of 8 cm and 13 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  22. 22.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 16 cm and 4 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  24. 24.A cuboid is 10 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  25. 25.The diagonals of a rhombus are 10 cm and 5 cm. What is its area (in square cm)?
  26. 26.A cuboid is 9 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  27. 27.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  28. 28.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.A cuboid is 8 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  30. 30.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 23 cm and 7 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  32. 32.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.The diagonals of a rhombus are 20 cm and 22 cm. What is its area (in square cm)?
  34. 34.A cuboid is 8 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 8 cm and 24 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  37. 37.A cuboid is 11 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  38. 38.The diagonals of a rhombus are 6 cm and 16 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 54 square cm. Its parallel sides are 7 cm and 29 cm. What is the distance between them (in cm)?
  40. 40.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?

Answer key

  1. 19
  2. 120
  3. 536
  4. 13
  5. 294
  6. 15
  7. 120
  8. 117
  9. 472
  10. 150
  11. 82
  12. 40
  13. 286
  14. 70
  15. 8
  16. 88
  17. 330
  18. 36
  19. 210
  20. 78
  21. 105
  22. 18
  23. 50
  24. 208
  25. 25
  26. 342
  27. 7
  28. 48
  29. 152
  30. 384
  31. 255
  32. 64
  33. 220
  34. 224
  35. 320
  36. 16
  37. 724
  38. 48
  39. 3
  40. 5

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