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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 297 · 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 cuboid is 15 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  2. 2.A cuboid is 4 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has parallel sides of 30 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has an area of 245 square cm. Its parallel sides are 27 cm and 22 cm. What is the distance between them (in cm)?
  6. 6.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  7. 7.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  8. 8.A room is 3 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has an area of 128 square cm. Its parallel sides are 29 cm and 3 cm. What is the distance between them (in cm)?
  12. 12.A trapezium has an area of 51 square cm. Its parallel sides are 14 cm and 3 cm. What is the distance between them (in cm)?
  13. 13.A cuboid is 12 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  14. 14.A trapezium has parallel sides of 18 cm and 28 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  15. 15.A trapezium has parallel sides of 24 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  16. 16.A cuboid is 3 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  17. 17.A trapezium has an area of 520 square cm. Its parallel sides are 30 cm and 22 cm. What is the distance between them (in cm)?
  18. 18.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  19. 19.A cuboid is 11 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  20. 20.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  21. 21.A trapezium has an area of 132 square cm. Its parallel sides are 15 cm and 29 cm. What is the distance between them (in cm)?
  22. 22.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 5 cm and 14 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  24. 24.A room is 12 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  26. 26.A cuboid is 7 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  27. 27.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  28. 28.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  29. 29.A cuboid is 13 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 20 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 16 cm and 5 cm. What is its area (in square cm)?
  32. 32.A cuboid is 4 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  33. 33.A trapezium has parallel sides of 28 cm and 9 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  34. 34.A cuboid is 4 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  35. 35.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  36. 36.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  37. 37.The diagonals of a rhombus are 4 cm and 10 cm. What is its area (in square cm)?
  38. 38.A trapezium has an area of 117 square cm. Its parallel sides are 7 cm and 6 cm. What is the distance between them (in cm)?
  39. 39.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  40. 40.A cuboid is 11 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?

Answer key

  1. 234
  2. 202
  3. 36
  4. 2646
  5. 10
  6. 3174
  7. 2
  8. 56
  9. 1536
  10. 11
  11. 8
  12. 6
  13. 768
  14. 391
  15. 78
  16. 126
  17. 20
  18. 3
  19. 632
  20. 3750
  21. 6
  22. 5
  23. 152
  24. 136
  25. 8
  26. 118
  27. 2400
  28. 14
  29. 512
  30. 207
  31. 40
  32. 80
  33. 148
  34. 112
  35. 486
  36. 17
  37. 20
  38. 18
  39. 15
  40. 304

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