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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 62 · 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.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has an area of 171 square cm. Its parallel sides are 22 cm and 16 cm. What is the distance between them (in cm)?
  3. 3.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  4. 4.A room is 4 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.A cuboid is 12 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 10 cm and 11 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 72 square cm. Its parallel sides are 5 cm and 4 cm. What is the distance between them (in cm)?
  8. 8.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  9. 9.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  10. 10.A cuboid is 10 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  11. 11.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 6 cm and 14 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  14. 14.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  15. 15.A cuboid is 12 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  16. 16.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  17. 17.A trapezium has parallel sides of 15 cm and 13 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 22 cm and 24 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  19. 19.A cuboid is 6 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  20. 20.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 21 cm and 17 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  22. 22.A trapezium has an area of 161 square cm. Its parallel sides are 10 cm and 13 cm. What is the distance between them (in cm)?
  23. 23.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 25 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 7 cm and 30 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 18 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 24 cm and 16 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  29. 29.The diagonals of a rhombus are 20 cm and 25 cm. What is its area (in square cm)?
  30. 30.A trapezium has an area of 266 square cm. Its parallel sides are 17 cm and 11 cm. What is the distance between them (in cm)?
  31. 31.A trapezium has parallel sides of 8 cm and 29 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  32. 32.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  33. 33.A cuboid is 8 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 20 cm and 16 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 15 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 9 cm and 20 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  37. 37.A cuboid is 3 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  38. 38.A room is 7 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.A trapezium has parallel sides of 18 cm and 2 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  40. 40.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?

Answer key

  1. 15
  2. 9
  3. 4
  4. 112
  5. 724
  6. 55
  7. 16
  8. 18
  9. 152
  10. 192
  11. 143
  12. 207
  13. 120
  14. 384
  15. 256
  16. 54
  17. 224
  18. 138
  19. 258
  20. 3456
  21. 57
  22. 14
  23. 30
  24. 306
  25. 111
  26. 470
  27. 2904
  28. 280
  29. 250
  30. 19
  31. 148
  32. 3750
  33. 512
  34. 324
  35. 58
  36. 29
  37. 32
  38. 100
  39. 190
  40. 1944

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