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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 145 · 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.A room is 9 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.A cuboid is 13 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  3. 3.A trapezium has parallel sides of 10 cm and 12 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 17 cm and 21 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  5. 5.A cuboid is 12 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  7. 7.The diagonals of a rhombus are 14 cm and 7 cm. What is its area (in square cm)?
  8. 8.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.A trapezium has parallel sides of 12 cm and 30 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 16 cm and 16 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 27 cm and 14 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 22 cm and 25 cm. What is its area (in square cm)?
  13. 13.A cuboid is 6 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  14. 14.A trapezium has an area of 222 square cm. Its parallel sides are 17 cm and 20 cm. What is the distance between them (in cm)?
  15. 15.A trapezium has parallel sides of 22 cm and 19 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  16. 16.A room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 225 square cm. Its parallel sides are 20 cm and 5 cm. What is the distance between them (in cm)?
  19. 19.A cuboid is 12 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.A trapezium has an area of 125 square cm. Its parallel sides are 15 cm and 10 cm. What is the distance between them (in cm)?
  22. 22.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 19 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  24. 24.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A cuboid is 9 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  27. 27.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  28. 28.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 285 square cm. Its parallel sides are 28 cm and 2 cm. What is the distance between them (in cm)?
  30. 30.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
  31. 31.A cuboid is 8 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  32. 32.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.A trapezium has parallel sides of 11 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  34. 34.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  35. 35.A cuboid is 5 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  36. 36.A cuboid is 3 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has an area of 212 square cm. Its parallel sides are 26 cm and 27 cm. What is the distance between them (in cm)?
  38. 38.A cuboid is 6 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  40. 40.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?

Answer key

  1. 114
  2. 812
  3. 55
  4. 304
  5. 320
  6. 20
  7. 49
  8. 80
  9. 84
  10. 128
  11. 164
  12. 275
  13. 208
  14. 12
  15. 287
  16. 88
  17. 2904
  18. 18
  19. 224
  20. 72
  21. 10
  22. 19
  23. 48
  24. 48
  25. 160
  26. 198
  27. 15
  28. 1350
  29. 19
  30. 55
  31. 262
  32. 80
  33. 30
  34. 2646
  35. 62
  36. 80
  37. 8
  38. 120
  39. 9
  40. 6

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