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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 20 · 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).

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  1. 1.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  2. 2.A cuboid is 15 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 22 square cm. Its parallel sides are 6 cm and 5 cm. What is the distance between them (in cm)?
  4. 4.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.A cuboid is 8 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 13 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  7. 7.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  8. 8.A trapezium has parallel sides of 28 cm and 29 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  9. 9.A cuboid is 15 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  10. 10.A trapezium has an area of 133 square cm. Its parallel sides are 4 cm and 10 cm. What is the distance between them (in cm)?
  11. 11.A room is 10 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  12. 12.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.A trapezium has parallel sides of 23 cm and 14 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 14 cm and 15 cm. What is its area (in square cm)?
  15. 15.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  16. 16.A trapezium has an area of 189 square cm. Its parallel sides are 12 cm and 15 cm. What is the distance between them (in cm)?
  17. 17.A cuboid is 6 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  19. 19.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.The diagonals of a rhombus are 20 cm and 28 cm. What is its area (in square cm)?
  21. 21.A room is 12 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.The diagonals of a rhombus are 14 cm and 25 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
  24. 24.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  25. 25.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  26. 26.A cuboid is 14 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  27. 27.A room is 9 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 16 cm and 14 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 153 square cm. Its parallel sides are 25 cm and 9 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.A room is 10 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has an area of 75 square cm. Its parallel sides are 28 cm and 22 cm. What is the distance between them (in cm)?
  35. 35.The diagonals of a rhombus are 28 cm and 7 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 23 cm and 25 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  37. 37.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  38. 38.The diagonals of a rhombus are 6 cm and 19 cm. What is its area (in square cm)?
  39. 39.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has parallel sides of 15 cm and 22 cm, and the distance between them is 2 cm. What is its area (in square cm)?

Answer key

  1. 96
  2. 342
  3. 4
  4. 96
  5. 442
  6. 172
  7. 15
  8. 114
  9. 470
  10. 19
  11. 140
  12. 60
  13. 185
  14. 105
  15. 120
  16. 14
  17. 248
  18. 384
  19. 54
  20. 280
  21. 102
  22. 175
  23. 42
  24. 216
  25. 486
  26. 574
  27. 140
  28. 112
  29. 9
  30. 90
  31. 170
  32. 54
  33. 16
  34. 3
  35. 98
  36. 144
  37. 17
  38. 57
  39. 2
  40. 37

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