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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 311 · 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 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  3. 3.A trapezium has parallel sides of 12 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 18 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  5. 5.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  6. 6.A trapezium has an area of 99 square cm. Its parallel sides are 10 cm and 23 cm. What is the distance between them (in cm)?
  7. 7.A trapezium has parallel sides of 23 cm and 6 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  8. 8.A cuboid is 5 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 22 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 208 square cm. Its parallel sides are 5 cm and 21 cm. What is the distance between them (in cm)?
  11. 11.A room is 4 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  12. 12.A cuboid is 6 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  13. 13.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.A room is 7 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  15. 15.A trapezium has parallel sides of 6 cm and 30 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  16. 16.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.A trapezium has parallel sides of 11 cm and 27 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 8 cm and 2 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  19. 19.A cuboid is 8 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  20. 20.The diagonals of a rhombus are 16 cm and 12 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  22. 22.A trapezium has an area of 520 square cm. Its parallel sides are 23 cm and 29 cm. What is the distance between them (in cm)?
  23. 23.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  24. 24.A trapezium has parallel sides of 16 cm and 18 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  25. 25.The diagonals of a rhombus are 14 cm and 8 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  27. 27.A trapezium has parallel sides of 25 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  28. 28.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  29. 29.A cuboid is 4 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  30. 30.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 22 cm and 9 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  32. 32.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  33. 33.A cuboid is 8 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has an area of 56 square cm. Its parallel sides are 12 cm and 16 cm. What is the distance between them (in cm)?
  35. 35.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 21 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  37. 37.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 11 cm and 9 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  39. 39.A cuboid is 15 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  40. 40.A cuboid is 7 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?

Answer key

  1. 48
  2. 120
  3. 18
  4. 130
  5. 90
  6. 6
  7. 203
  8. 192
  9. 38
  10. 16
  11. 140
  12. 56
  13. 60
  14. 104
  15. 90
  16. 104
  17. 304
  18. 35
  19. 552
  20. 96
  21. 18
  22. 20
  23. 17
  24. 34
  25. 56
  26. 19
  27. 208
  28. 54
  29. 112
  30. 3174
  31. 310
  32. 9
  33. 184
  34. 4
  35. 1176
  36. 80
  37. 1350
  38. 90
  39. 450
  40. 240

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