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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 53 · 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 cuboid is 8 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 24 cm and 7 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  3. 3.A trapezium has an area of 54 square cm. Its parallel sides are 15 cm and 21 cm. What is the distance between them (in cm)?
  4. 4.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 28 cm and 5 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 18 cm and 2 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  7. 7.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  9. 9.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
  10. 10.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  11. 11.The diagonals of a rhombus are 22 cm and 16 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 26 cm and 6 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  14. 14.A trapezium has parallel sides of 17 cm and 26 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  15. 15.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  16. 16.A cuboid is 8 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  17. 17.A trapezium has an area of 220 square cm. Its parallel sides are 27 cm and 28 cm. What is the distance between them (in cm)?
  18. 18.A cuboid is 7 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  20. 20.A cuboid is 3 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  21. 21.A cuboid is 10 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has parallel sides of 22 cm and 4 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 22 cm and 22 cm. What is its area (in square cm)?
  24. 24.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  25. 25.A trapezium has an area of 68 square cm. Its parallel sides are 24 cm and 10 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has an area of 306 square cm. Its parallel sides are 10 cm and 26 cm. What is the distance between them (in cm)?
  27. 27.A trapezium has parallel sides of 19 cm and 27 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 30 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  29. 29.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  30. 30.A trapezium has an area of 280 square cm. Its parallel sides are 4 cm and 24 cm. What is the distance between them (in cm)?
  31. 31.A room is 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.A cuboid is 3 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  33. 33.The diagonals of a rhombus are 8 cm and 16 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 6 cm and 3 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  35. 35.A cuboid is 4 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 25 square cm. Its parallel sides are 21 cm and 4 cm. What is the distance between them (in cm)?
  37. 37.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 5 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  39. 39.A cuboid is 10 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  40. 40.The diagonals of a rhombus are 14 cm and 9 cm. What is its area (in square cm)?

Answer key

  1. 384
  2. 310
  3. 3
  4. 112
  5. 132
  6. 90
  7. 120
  8. 60
  9. 70
  10. 5
  11. 176
  12. 176
  13. 15
  14. 215
  15. 8
  16. 212
  17. 8
  18. 396
  19. 18
  20. 102
  21. 520
  22. 221
  23. 242
  24. 2166
  25. 4
  26. 17
  27. 46
  28. 330
  29. 600
  30. 20
  31. 100
  32. 114
  33. 64
  34. 45
  35. 228
  36. 2
  37. 2904
  38. 120
  39. 416
  40. 63

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