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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 177 · 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 12 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  3. 3.A cuboid is 3 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  4. 4.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  5. 5.A trapezium has an area of 55 square cm. Its parallel sides are 28 cm and 27 cm. What is the distance between them (in cm)?
  6. 6.A trapezium has parallel sides of 8 cm and 28 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  7. 7.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  8. 8.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  9. 9.A cuboid is 14 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  10. 10.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.A trapezium has an area of 110 square cm. Its parallel sides are 17 cm and 5 cm. What is the distance between them (in cm)?
  12. 12.The total surface area of a cube is 294 square cm. How long is each edge (in 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 20 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  15. 15.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  16. 16.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  17. 17.A trapezium has an area of 51 square cm. Its parallel sides are 27 cm and 24 cm. What is the distance between them (in cm)?
  18. 18.A room is 12 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
  20. 20.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?
  22. 22.A trapezium has an area of 168 square cm. Its parallel sides are 20 cm and 8 cm. What is the distance between them (in cm)?
  23. 23.The diagonals of a rhombus are 16 cm and 7 cm. What is its area (in square cm)?
  24. 24.A room is 9 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.A room is 9 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  27. 27.A cuboid is 13 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 18 cm and 18 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 204 square cm. Its parallel sides are 22 cm and 29 cm. What is the distance between them (in cm)?
  32. 32.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has an area of 40 square cm. Its parallel sides are 13 cm and 7 cm. What is the distance between them (in cm)?
  35. 35.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  36. 36.A trapezium has an area of 322 square cm. Its parallel sides are 26 cm and 20 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has an area of 155 square cm. Its parallel sides are 16 cm and 15 cm. What is the distance between them (in cm)?
  38. 38.A cuboid is 14 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  39. 39.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  40. 40.A trapezium has an area of 160 square cm. Its parallel sides are 11 cm and 29 cm. What is the distance between them (in cm)?

Answer key

  1. 126
  2. 18
  3. 132
  4. 6
  5. 2
  6. 54
  7. 150
  8. 126
  9. 520
  10. 110
  11. 10
  12. 7
  13. 15
  14. 23
  15. 216
  16. 24
  17. 2
  18. 120
  19. 15
  20. 2166
  21. 27
  22. 12
  23. 56
  24. 108
  25. 152
  26. 2400
  27. 376
  28. 384
  29. 1536
  30. 162
  31. 8
  32. 136
  33. 19
  34. 4
  35. 12
  36. 14
  37. 10
  38. 528
  39. 1014
  40. 8

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