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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 88 · 40 sums
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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 trapezium has parallel sides of 5 cm and 27 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  2. 2.A cuboid is 12 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  3. 3.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  4. 4.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 11 cm and 24 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  6. 6.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has an area of 55 square cm. Its parallel sides are 7 cm and 15 cm. What is the distance between them (in cm)?
  8. 8.A trapezium has parallel sides of 18 cm and 11 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 165 square cm. Its parallel sides are 9 cm and 24 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 25 cm and 27 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  11. 11.The diagonals of a rhombus are 24 cm and 12 cm. What is its area (in square cm)?
  12. 12.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  13. 13.A cuboid is 7 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  14. 14.A room is 8 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.A trapezium has parallel sides of 27 cm and 7 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 17 cm and 19 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 198 square cm. Its parallel sides are 14 cm and 19 cm. What is the distance between them (in cm)?
  18. 18.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.A room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has parallel sides of 18 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  21. 21.A room is 6 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  22. 22.The diagonals of a rhombus are 10 cm and 21 cm. What is its area (in square cm)?
  23. 23.A trapezium has an area of 76 square cm. Its parallel sides are 6 cm and 2 cm. What is the distance between them (in cm)?
  24. 24.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  26. 26.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  27. 27.A trapezium has parallel sides of 17 cm and 28 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  29. 29.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  30. 30.A trapezium has an area of 130 square cm. Its parallel sides are 19 cm and 7 cm. What is the distance between them (in cm)?
  31. 31.The diagonals of a rhombus are 30 cm and 20 cm. What is its area (in square cm)?
  32. 32.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  33. 33.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  34. 34.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has an area of 51 square cm. Its parallel sides are 11 cm and 23 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has parallel sides of 10 cm and 8 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  37. 37.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  38. 38.A trapezium has an area of 17 square cm. Its parallel sides are 12 cm and 5 cm. What is the distance between them (in cm)?
  39. 39.A trapezium has parallel sides of 17 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  40. 40.A room is 7 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 224
  2. 396
  3. 2166
  4. 160
  5. 245
  6. 13
  7. 5
  8. 261
  9. 10
  10. 390
  11. 144
  12. 16
  13. 190
  14. 180
  15. 119
  16. 342
  17. 12
  18. 180
  19. 88
  20. 46
  21. 130
  22. 105
  23. 19
  24. 55
  25. 5
  26. 130
  27. 45
  28. 12
  29. 17
  30. 10
  31. 300
  32. 70
  33. 4
  34. 3
  35. 3
  36. 63
  37. 600
  38. 2
  39. 210
  40. 128

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