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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 201 · 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 3 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  3. 3.A cuboid is 3 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  4. 4.A trapezium has parallel sides of 16 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  5. 5.A trapezium has an area of 34 square cm. Its parallel sides are 6 cm and 28 cm. What is the distance between them (in cm)?
  6. 6.A cuboid is 10 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 15 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has parallel sides of 24 cm and 29 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.The diagonals of a rhombus are 20 cm and 27 cm. What is its area (in square cm)?
  12. 12.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  13. 13.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
  14. 14.A cuboid is 9 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 14 cm and 18 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  16. 16.The diagonals of a rhombus are 24 cm and 22 cm. What is its area (in square cm)?
  17. 17.A cuboid is 13 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  18. 18.A cuboid is 15 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  19. 19.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.The diagonals of a rhombus are 10 cm and 26 cm. What is its area (in square cm)?
  21. 21.A cuboid is 7 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  22. 22.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  23. 23.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  24. 24.A trapezium has an area of 221 square cm. Its parallel sides are 13 cm and 21 cm. What is the distance between them (in cm)?
  25. 25.The diagonals of a rhombus are 8 cm and 12 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  27. 27.The diagonals of a rhombus are 24 cm and 27 cm. What is its area (in square cm)?
  28. 28.The diagonals of a rhombus are 24 cm and 12 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 8 cm and 17 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  30. 30.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 19 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  33. 33.The diagonals of a rhombus are 24 cm and 23 cm. What is its area (in square cm)?
  34. 34.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has parallel sides of 10 cm and 5 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  36. 36.A cuboid is 6 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 27 cm and 9 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 13 cm and 8 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  40. 40.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?

Answer key

  1. 78
  2. 3456
  3. 32
  4. 252
  5. 2
  6. 268
  7. 46
  8. 12
  9. 106
  10. 150
  11. 270
  12. 294
  13. 16
  14. 332
  15. 320
  16. 264
  17. 302
  18. 650
  19. 96
  20. 130
  21. 286
  22. 726
  23. 7
  24. 13
  25. 48
  26. 216
  27. 324
  28. 144
  29. 100
  30. 96
  31. 143
  32. 90
  33. 276
  34. 13
  35. 15
  36. 264
  37. 126
  38. 24
  39. 189
  40. 2646

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