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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 133 · 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 4 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  2. 2.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  3. 3.A cuboid is 9 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  4. 4.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.The diagonals of a rhombus are 28 cm and 25 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 49 square cm. Its parallel sides are 4 cm and 3 cm. What is the distance between them (in cm)?
  7. 7.A room is 6 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.A cuboid is 12 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  9. 9.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  10. 10.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  11. 11.The diagonals of a rhombus are 20 cm and 10 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 12 cm and 16 cm, and the distance between them is 2 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 6 cm and 14 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  15. 15.A cuboid is 3 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  16. 16.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  17. 17.A cuboid is 10 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  18. 18.A room is 9 m long, 4 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 26 cm and 21 cm. What is its area (in square cm)?
  20. 20.A trapezium has an area of 210 square cm. Its parallel sides are 22 cm and 6 cm. What is the distance between them (in cm)?
  21. 21.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  22. 22.A room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.The diagonals of a rhombus are 26 cm and 7 cm. What is its area (in square cm)?
  24. 24.A cuboid is 4 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  25. 25.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  26. 26.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  27. 27.A trapezium has an area of 47 square cm. Its parallel sides are 26 cm and 21 cm. What is the distance between them (in cm)?
  28. 28.A cuboid is 4 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  29. 29.A cuboid is 3 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  30. 30.A cuboid is 4 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  31. 31.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  32. 32.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  33. 33.A cuboid is 11 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 29 cm and 13 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 24 cm and 20 cm. What is its area (in square cm)?
  36. 36.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  37. 37.A cuboid is 3 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 15 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 30 cm and 28 cm. What is its area (in square cm)?
  40. 40.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?

Answer key

  1. 148
  2. 216
  3. 256
  4. 42
  5. 350
  6. 14
  7. 140
  8. 372
  9. 2
  10. 14
  11. 100
  12. 28
  13. 15
  14. 100
  15. 138
  16. 11
  17. 294
  18. 78
  19. 273
  20. 15
  21. 3
  22. 150
  23. 91
  24. 184
  25. 10
  26. 9
  27. 2
  28. 268
  29. 190
  30. 96
  31. 726
  32. 170
  33. 268
  34. 399
  35. 240
  36. 150
  37. 132
  38. 600
  39. 420
  40. 1014

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