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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 77 · 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 7 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  2. 2.A room is 5 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  3. 3.A trapezium has an area of 90 square cm. Its parallel sides are 17 cm and 13 cm. What is the distance between them (in cm)?
  4. 4.The diagonals of a rhombus are 20 cm and 14 cm. What is its area (in square cm)?
  5. 5.A cuboid is 7 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has an area of 50 square cm. Its parallel sides are 19 cm and 6 cm. What is the distance between them (in cm)?
  7. 7.A cuboid is 11 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  8. 8.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has an area of 161 square cm. Its parallel sides are 13 cm and 10 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 9 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  11. 11.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 15 square cm. Its parallel sides are 11 cm and 4 cm. What is the distance between them (in cm)?
  13. 13.A cuboid is 5 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  14. 14.A cuboid is 11 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 6 cm and 30 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  16. 16.A cuboid is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  17. 17.A room is 7 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has an area of 299 square cm. Its parallel sides are 30 cm and 16 cm. What is the distance between them (in cm)?
  19. 19.A cuboid is 3 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 10 cm and 28 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  21. 21.A cuboid is 14 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  22. 22.The diagonals of a rhombus are 6 cm and 6 cm. What is its area (in square cm)?
  23. 23.A cuboid is 14 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  25. 25.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  26. 26.A trapezium has an area of 72 square cm. Its parallel sides are 23 cm and 13 cm. What is the distance between them (in cm)?
  27. 27.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.The diagonals of a rhombus are 30 cm and 6 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 164 square cm. Its parallel sides are 18 cm and 23 cm. What is the distance between them (in cm)?
  30. 30.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  32. 32.A cuboid is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  33. 33.A trapezium has parallel sides of 19 cm and 25 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  34. 34.A cuboid is 4 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 20 cm and 30 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 324 square cm. Its parallel sides are 16 cm and 20 cm. What is the distance between them (in cm)?
  37. 37.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  38. 38.The diagonals of a rhombus are 18 cm and 30 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 24 cm and 26 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  40. 40.The diagonals of a rhombus are 6 cm and 16 cm. What is its area (in square cm)?

Answer key

  1. 118
  2. 84
  3. 6
  4. 140
  5. 350
  6. 4
  7. 328
  8. 7
  9. 14
  10. 11
  11. 1014
  12. 2
  13. 104
  14. 556
  15. 216
  16. 318
  17. 150
  18. 13
  19. 126
  20. 304
  21. 328
  22. 18
  23. 256
  24. 20
  25. 1944
  26. 4
  27. 130
  28. 90
  29. 8
  30. 90
  31. 24
  32. 160
  33. 110
  34. 112
  35. 100
  36. 18
  37. 294
  38. 270
  39. 50
  40. 48

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