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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 25 · 40 sums
TalentJR

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).

NameDateTime takenScore ___ / 40
  1. 1.The diagonals of a rhombus are 4 cm and 11 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 4 cm and 22 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  3. 3.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  4. 4.A trapezium has parallel sides of 11 cm and 5 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 29 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  7. 7.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.A trapezium has an area of 51 square cm. Its parallel sides are 4 cm and 30 cm. What is the distance between them (in cm)?
  9. 9.The diagonals of a rhombus are 30 cm and 22 cm. What is its area (in square cm)?
  10. 10.A cuboid is 5 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  11. 11.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  12. 12.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  13. 13.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  14. 14.A trapezium has parallel sides of 13 cm and 17 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  15. 15.The diagonals of a rhombus are 24 cm and 12 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 11 cm and 26 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  17. 17.A cuboid is 13 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  19. 19.A room is 6 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has an area of 161 square cm. Its parallel sides are 9 cm and 14 cm. What is the distance between them (in cm)?
  21. 21.A trapezium has parallel sides of 18 cm and 22 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  22. 22.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 9 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 81 square cm. Its parallel sides are 28 cm and 26 cm. What is the distance between them (in cm)?
  25. 25.A room is 11 m long, 4 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 10 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  27. 27.A cuboid is 12 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  29. 29.A trapezium has parallel sides of 24 cm and 12 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  30. 30.A trapezium has parallel sides of 5 cm and 8 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 30 cm and 24 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  33. 33.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has parallel sides of 8 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 25 cm and 2 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  36. 36.A cuboid is 12 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  37. 37.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  38. 38.A cuboid is 11 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  39. 39.A room is 3 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  40. 40.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?

Answer key

  1. 22
  2. 182
  3. 150
  4. 88
  5. 1734
  6. 236
  7. 90
  8. 3
  9. 330
  10. 166
  11. 9
  12. 72
  13. 13
  14. 180
  15. 144
  16. 333
  17. 398
  18. 2904
  19. 72
  20. 14
  21. 240
  22. 4
  23. 38
  24. 3
  25. 150
  26. 90
  27. 680
  28. 600
  29. 126
  30. 13
  31. 3456
  32. 162
  33. 5
  34. 105
  35. 189
  36. 372
  37. 3
  38. 724
  39. 56
  40. 12

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