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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 288 · 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.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 4 cm and 26 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 20 cm and 16 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 22 cm and 11 cm, and the distance between them is 4 cm. What is its 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 cuboid is 15 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  8. 8.A cuboid is 15 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  9. 9.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
  10. 10.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  11. 11.The diagonals of a rhombus are 28 cm and 13 cm. What is its area (in square cm)?
  12. 12.A trapezium has an area of 198 square cm. Its parallel sides are 19 cm and 14 cm. What is the distance between them (in cm)?
  13. 13.A cuboid is 11 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  14. 14.A room is 7 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  15. 15.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 45 square cm. Its parallel sides are 16 cm and 14 cm. What is the distance between them (in cm)?
  17. 17.A trapezium has parallel sides of 7 cm and 16 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  18. 18.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  19. 19.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has an area of 189 square cm. Its parallel sides are 6 cm and 21 cm. What is the distance between them (in cm)?
  21. 21.A cuboid is 9 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
  22. 22.A cuboid is 6 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  23. 23.The diagonals of a rhombus are 24 cm and 10 cm. What is its area (in square cm)?
  24. 24.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  25. 25.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  26. 26.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.A cuboid is 13 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 154 square cm. Its parallel sides are 20 cm and 2 cm. What is the distance between them (in cm)?
  30. 30.A room is 10 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  31. 31.A cuboid is 8 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  32. 32.A cuboid is 10 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has parallel sides of 14 cm and 3 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 19 cm and 25 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  36. 36.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.A trapezium has parallel sides of 17 cm and 29 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 30 cm and 29 cm. What is its area (in square cm)?
  39. 39.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?

Answer key

  1. 3174
  2. 52
  3. 1176
  4. 160
  5. 66
  6. 15
  7. 558
  8. 468
  9. 6
  10. 19
  11. 182
  12. 12
  13. 238
  14. 136
  15. 2646
  16. 3
  17. 69
  18. 14
  19. 114
  20. 14
  21. 522
  22. 200
  23. 120
  24. 150
  25. 72
  26. 78
  27. 66
  28. 382
  29. 14
  30. 136
  31. 192
  32. 216
  33. 2
  34. 85
  35. 44
  36. 90
  37. 138
  38. 435
  39. 48
  40. 1014

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