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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 283 · 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 11 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  2. 2.A cuboid is 6 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  3. 3.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  4. 4.A cuboid is 4 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  5. 5.A trapezium has parallel sides of 30 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 25 cm and 29 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 16 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  9. 9.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  11. 11.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  12. 12.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  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 10 cm and 21 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  15. 15.A trapezium has an area of 255 square cm. Its parallel sides are 4 cm and 26 cm. What is the distance between them (in cm)?
  16. 16.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  17. 17.A trapezium has an area of 105 square cm. Its parallel sides are 6 cm and 15 cm. What is the distance between them (in cm)?
  18. 18.A cuboid is 3 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  19. 19.A cuboid is 12 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 13 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 13 cm and 7 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  22. 22.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  23. 23.A cuboid is 7 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.The diagonals of a rhombus are 10 cm and 10 cm. What is its area (in square cm)?
  25. 25.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has parallel sides of 12 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square 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 15 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  29. 29.A cuboid is 15 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  30. 30.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  31. 31.A trapezium has parallel sides of 23 cm and 3 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 4 cm and 20 cm. What is its area (in square cm)?
  33. 33.A trapezium has an area of 234 square cm. Its parallel sides are 25 cm and 11 cm. What is the distance between them (in cm)?
  34. 34.A cuboid is 14 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.The diagonals of a rhombus are 16 cm and 26 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  37. 37.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.The diagonals of a rhombus are 28 cm and 7 cm. What is its area (in square cm)?
  39. 39.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  40. 40.A trapezium has an area of 105 square cm. Its parallel sides are 17 cm and 25 cm. What is the distance between them (in cm)?

Answer key

  1. 632
  2. 168
  3. 15
  4. 136
  5. 168
  6. 270
  7. 84
  8. 1176
  9. 864
  10. 10
  11. 16
  12. 19
  13. 102
  14. 124
  15. 17
  16. 726
  17. 10
  18. 164
  19. 548
  20. 75
  21. 150
  22. 24
  23. 244
  24. 50
  25. 80
  26. 148
  27. 1014
  28. 424
  29. 390
  30. 18
  31. 91
  32. 40
  33. 13
  34. 248
  35. 208
  36. 35
  37. 130
  38. 98
  39. 486
  40. 5

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