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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 9 · 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 room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.A room is 12 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  3. 3.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has an area of 133 square cm. Its parallel sides are 18 cm and 20 cm. What is the distance between them (in cm)?
  5. 5.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  6. 6.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has parallel sides of 12 cm and 14 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 85 square cm. Its parallel sides are 18 cm and 16 cm. What is the distance between them (in cm)?
  11. 11.A trapezium has an area of 117 square cm. Its parallel sides are 20 cm and 6 cm. What is the distance between them (in cm)?
  12. 12.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has an area of 144 square cm. Its parallel sides are 6 cm and 26 cm. What is the distance between them (in cm)?
  14. 14.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  15. 15.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has parallel sides of 19 cm and 21 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  18. 18.A trapezium has an area of 162 square cm. Its parallel sides are 25 cm and 2 cm. What is the distance between them (in cm)?
  19. 19.A trapezium has parallel sides of 8 cm and 17 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  20. 20.A cuboid is 11 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 17 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 30 cm and 29 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  23. 23.A cuboid is 12 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  24. 24.A trapezium has an area of 133 square cm. Its parallel sides are 16 cm and 3 cm. What is the distance between them (in cm)?
  25. 25.A trapezium has an area of 51 square cm. Its parallel sides are 6 cm and 11 cm. What is the distance between them (in cm)?
  26. 26.The diagonals of a rhombus are 18 cm and 17 cm. What is its area (in square cm)?
  27. 27.A cuboid is 6 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  28. 28.A room is 12 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  30. 30.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  31. 31.A trapezium has an area of 192 square cm. Its parallel sides are 7 cm and 25 cm. What is the distance between them (in cm)?
  32. 32.A trapezium has an area of 208 square cm. Its parallel sides are 11 cm and 15 cm. What is the distance between them (in cm)?
  33. 33.A cuboid is 14 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  34. 34.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 20 cm and 4 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 270 square cm. Its parallel sides are 12 cm and 15 cm. What is the distance between them (in cm)?
  37. 37.A room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has an area of 46 square cm. Its parallel sides are 21 cm and 2 cm. What is the distance between them (in cm)?
  39. 39.The diagonals of a rhombus are 28 cm and 4 cm. What is its area (in square cm)?
  40. 40.A cuboid is 7 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?

Answer key

  1. 110
  2. 170
  3. 14
  4. 7
  5. 3
  6. 126
  7. 120
  8. 20
  9. 221
  10. 5
  11. 9
  12. 19
  13. 9
  14. 16
  15. 5
  16. 140
  17. 35
  18. 12
  19. 75
  20. 302
  21. 75
  22. 472
  23. 594
  24. 14
  25. 6
  26. 153
  27. 214
  28. 190
  29. 8
  30. 15
  31. 12
  32. 16
  33. 520
  34. 60
  35. 40
  36. 20
  37. 128
  38. 4
  39. 56
  40. 282

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