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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 290 · 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.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  2. 2.A cuboid is 10 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  3. 3.A cuboid is 3 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  4. 4.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has parallel sides of 16 cm and 27 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  6. 6.The diagonals of a rhombus are 14 cm and 13 cm. What is its area (in square cm)?
  7. 7.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  8. 8.The diagonals of a rhombus are 16 cm and 19 cm. What is its area (in square cm)?
  9. 9.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  11. 11.The diagonals of a rhombus are 12 cm and 21 cm. What is its area (in square cm)?
  12. 12.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  13. 13.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  14. 14.A trapezium has an area of 225 square cm. Its parallel sides are 23 cm and 7 cm. What is the distance between them (in cm)?
  15. 15.A room is 7 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  16. 16.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.A trapezium has parallel sides of 10 cm and 22 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  18. 18.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
  19. 19.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  20. 20.A cuboid is 5 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 26 cm and 2 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 14 cm and 20 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  23. 23.A cuboid is 13 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  25. 25.A cuboid is 7 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  26. 26.A trapezium has an area of 155 square cm. Its parallel sides are 13 cm and 18 cm. What is the distance between them (in cm)?
  27. 27.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  28. 28.A room is 10 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  29. 29.The diagonals of a rhombus are 8 cm and 19 cm. What is its area (in square cm)?
  30. 30.The diagonals of a rhombus are 12 cm and 9 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 45 square cm. Its parallel sides are 8 cm and 7 cm. What is the distance between them (in cm)?
  32. 32.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  33. 33.The diagonals of a rhombus are 24 cm and 3 cm. What is its area (in square cm)?
  34. 34.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  35. 35.A cuboid is 11 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 23 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 28 cm and 22 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 4 cm and 13 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  39. 39.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  40. 40.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?

Answer key

  1. 24
  2. 388
  3. 262
  4. 1176
  5. 258
  6. 91
  7. 6
  8. 152
  9. 384
  10. 7
  11. 126
  12. 3
  13. 96
  14. 15
  15. 100
  16. 96
  17. 256
  18. 288
  19. 294
  20. 286
  21. 210
  22. 51
  23. 262
  24. 13
  25. 318
  26. 10
  27. 3456
  28. 120
  29. 76
  30. 54
  31. 6
  32. 130
  33. 36
  34. 2
  35. 174
  36. 29
  37. 308
  38. 85
  39. 12
  40. 8

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