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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 270 · 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 5 m high. What is the area of its four walls (in square m)?
  2. 2.A trapezium has parallel sides of 28 cm and 25 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  4. 4.A cuboid is 12 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  5. 5.A trapezium has parallel sides of 20 cm and 17 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 27 cm and 19 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 70 square cm. Its parallel sides are 6 cm and 14 cm. What is the distance between them (in cm)?
  8. 8.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 17 cm and 25 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 24 cm and 9 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 4 cm and 25 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  12. 12.A trapezium has an area of 297 square cm. Its parallel sides are 4 cm and 29 cm. What is the distance between them (in cm)?
  13. 13.A cuboid is 14 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  14. 14.A trapezium has an area of 186 square cm. Its parallel sides are 11 cm and 20 cm. What is the distance between them (in cm)?
  15. 15.A trapezium has parallel sides of 18 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 13 cm and 23 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  17. 17.A cuboid is 15 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  18. 18.A room is 12 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 22 cm and 2 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  21. 21.A trapezium has an area of 315 square cm. Its parallel sides are 16 cm and 26 cm. What is the distance between them (in cm)?
  22. 22.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  23. 23.A room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  24. 24.The diagonals of a rhombus are 6 cm and 15 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 70 square cm. Its parallel sides are 26 cm and 2 cm. What is the distance between them (in cm)?
  26. 26.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  27. 27.A trapezium has an area of 320 square cm. Its parallel sides are 7 cm and 25 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has parallel sides of 9 cm and 11 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  29. 29.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  30. 30.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  31. 31.A cuboid is 5 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 7 cm and 24 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  33. 33.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  34. 34.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.A room is 11 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  36. 36.The diagonals of a rhombus are 14 cm and 4 cm. What is its area (in square cm)?
  37. 37.A cuboid is 10 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 20 cm and 25 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  39. 39.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  40. 40.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 80
  2. 318
  3. 3750
  4. 504
  5. 333
  6. 276
  7. 7
  8. 216
  9. 231
  10. 108
  11. 29
  12. 18
  13. 152
  14. 12
  15. 34
  16. 162
  17. 306
  18. 168
  19. 1536
  20. 60
  21. 15
  22. 486
  23. 150
  24. 45
  25. 5
  26. 7
  27. 20
  28. 200
  29. 6
  30. 1014
  31. 48
  32. 310
  33. 15
  34. 80
  35. 160
  36. 28
  37. 412
  38. 135
  39. 17
  40. 78

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