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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 301 · 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 diagonals of a rhombus are 28 cm and 21 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 7 cm and 29 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  4. 4.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  5. 5.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  7. 7.The diagonals of a rhombus are 24 cm and 20 cm. What is its area (in square cm)?
  8. 8.A cuboid is 4 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  9. 9.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  10. 10.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 28 cm and 29 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  12. 12.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has an area of 130 square cm. Its parallel sides are 5 cm and 21 cm. What is the distance between them (in cm)?
  14. 14.A cuboid is 3 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 90 square cm. Its parallel sides are 12 cm and 18 cm. What is the distance between them (in cm)?
  16. 16.A room is 10 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.A trapezium has parallel sides of 18 cm and 2 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 21 cm and 15 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  19. 19.A trapezium has an area of 245 square cm. Its parallel sides are 28 cm and 7 cm. What is the distance between them (in cm)?
  20. 20.A trapezium has parallel sides of 5 cm and 18 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 30 cm and 9 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 4 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  23. 23.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
  24. 24.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  25. 25.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  26. 26.A room is 9 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  27. 27.A cuboid is 4 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  29. 29.A cuboid is 5 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 10 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 17 cm and 15 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 29 cm and 28 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 22 cm and 10 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  35. 35.A room is 8 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  37. 37.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has an area of 156 square cm. Its parallel sides are 9 cm and 15 cm. What is the distance between them (in cm)?
  39. 39.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  40. 40.A cuboid is 3 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?

Answer key

  1. 294
  2. 162
  3. 1176
  4. 20
  5. 3174
  6. 10
  7. 240
  8. 124
  9. 2166
  10. 3456
  11. 285
  12. 6
  13. 10
  14. 114
  15. 6
  16. 120
  17. 100
  18. 72
  19. 14
  20. 46
  21. 273
  22. 7
  23. 87
  24. 1944
  25. 600
  26. 190
  27. 100
  28. 1014
  29. 190
  30. 111
  31. 486
  32. 224
  33. 513
  34. 160
  35. 140
  36. 13
  37. 190
  38. 13
  39. 96
  40. 136

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