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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 89 · 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 cuboid is 3 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  2. 2.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  3. 3.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  4. 4.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  5. 5.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  6. 6.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 18 cm and 7 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  9. 9.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  12. 12.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
  13. 13.A cuboid is 5 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  14. 14.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  15. 15.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  16. 16.A cuboid is 6 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  17. 17.A room is 8 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has an area of 225 square cm. Its parallel sides are 16 cm and 14 cm. What is the distance between them (in cm)?
  19. 19.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has parallel sides of 21 cm and 19 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  21. 21.A trapezium has an area of 308 square cm. Its parallel sides are 26 cm and 18 cm. What is the distance between them (in cm)?
  22. 22.A room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has an area of 246 square cm. Its parallel sides are 27 cm and 14 cm. What is the distance between them (in cm)?
  24. 24.A cuboid is 11 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  25. 25.The diagonals of a rhombus are 30 cm and 5 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 11 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  27. 27.A trapezium has an area of 72 square cm. Its parallel sides are 10 cm and 8 cm. What is the distance between them (in cm)?
  28. 28.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?
  29. 29.The diagonals of a rhombus are 8 cm and 10 cm. What is its area (in square cm)?
  30. 30.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.The diagonals of a rhombus are 16 cm and 19 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 26 cm and 7 cm. What is its area (in square cm)?
  33. 33.A room is 11 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.The diagonals of a rhombus are 12 cm and 5 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  36. 36.A cuboid is 11 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  37. 37.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  40. 40.The diagonals of a rhombus are 6 cm and 4 cm. What is its area (in square cm)?

Answer key

  1. 242
  2. 4
  3. 1944
  4. 7
  5. 13
  6. 96
  7. 63
  8. 19
  9. 150
  10. 110
  11. 18
  12. 24
  13. 150
  14. 12
  15. 24
  16. 268
  17. 84
  18. 15
  19. 3
  20. 380
  21. 14
  22. 78
  23. 12
  24. 514
  25. 75
  26. 72
  27. 8
  28. 95
  29. 40
  30. 66
  31. 152
  32. 91
  33. 152
  34. 30
  35. 108
  36. 178
  37. 78
  38. 600
  39. 15
  40. 12

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