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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 149 · 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 12 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  3. 3.A trapezium has an area of 153 square cm. Its parallel sides are 11 cm and 23 cm. What is the distance between them (in cm)?
  4. 4.A trapezium has parallel sides of 5 cm and 19 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  5. 5.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  6. 6.A cuboid is 11 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  7. 7.A cuboid is 3 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  8. 8.A cuboid is 6 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  9. 9.The diagonals of a rhombus are 12 cm and 5 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  11. 11.A trapezium has an area of 450 square cm. Its parallel sides are 21 cm and 29 cm. What is the distance between them (in cm)?
  12. 12.A trapezium has parallel sides of 27 cm and 26 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 28 cm and 26 cm. What is its area (in square cm)?
  14. 14.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  15. 15.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  16. 16.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  17. 17.A room is 12 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  18. 18.A cuboid is 8 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  20. 20.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  21. 21.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  22. 22.A room is 3 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has an area of 126 square cm. Its parallel sides are 18 cm and 24 cm. What is the distance between them (in cm)?
  24. 24.A room is 3 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.A room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has parallel sides of 20 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  27. 27.A room is 3 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 15 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has parallel sides of 25 cm and 27 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  30. 30.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.A cuboid is 10 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  32. 32.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  33. 33.A trapezium has parallel sides of 6 cm and 7 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 18 cm and 17 cm. What is its area (in square cm)?
  35. 35.A trapezium has an area of 408 square cm. Its parallel sides are 21 cm and 30 cm. What is the distance between them (in cm)?
  36. 36.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  37. 37.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
  38. 38.A trapezium has an area of 23 square cm. Its parallel sides are 16 cm and 7 cm. What is the distance between them (in cm)?
  39. 39.A cuboid is 15 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  40. 40.A room is 12 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 170
  2. 2
  3. 9
  4. 120
  5. 84
  6. 346
  7. 224
  8. 472
  9. 30
  10. 1350
  11. 18
  12. 106
  13. 364
  14. 7
  15. 72
  16. 12
  17. 200
  18. 314
  19. 20
  20. 9
  21. 3
  22. 130
  23. 6
  24. 72
  25. 78
  26. 78
  27. 54
  28. 350
  29. 364
  30. 48
  31. 548
  32. 13
  33. 78
  34. 153
  35. 16
  36. 16
  37. 87
  38. 2
  39. 332
  40. 102

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