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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 195 · 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 trapezium has parallel sides of 14 cm and 21 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  2. 2.A trapezium has an area of 108 square cm. Its parallel sides are 10 cm and 17 cm. What is the distance between them (in cm)?
  3. 3.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  4. 4.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  5. 5.A cuboid is 8 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 26 cm and 20 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 8 cm and 20 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 300 square cm. Its parallel sides are 8 cm and 22 cm. What is the distance between them (in cm)?
  9. 9.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  10. 10.A cuboid is 4 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 24 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  12. 12.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  13. 13.A trapezium has an area of 132 square cm. Its parallel sides are 21 cm and 12 cm. What is the distance between them (in cm)?
  14. 14.The diagonals of a rhombus are 16 cm and 22 cm. What is its area (in square cm)?
  15. 15.The diagonals of a rhombus are 22 cm and 17 cm. What is its area (in square cm)?
  16. 16.A trapezium has an area of 144 square cm. Its parallel sides are 19 cm and 5 cm. What is the distance between them (in cm)?
  17. 17.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  18. 18.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  19. 19.A room is 8 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.The diagonals of a rhombus are 16 cm and 12 cm. What is its area (in square cm)?
  21. 21.A trapezium has an area of 68 square cm. Its parallel sides are 22 cm and 12 cm. What is the distance between them (in cm)?
  22. 22.A room is 11 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has an area of 234 square cm. Its parallel sides are 30 cm and 9 cm. What is the distance between them (in cm)?
  24. 24.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  25. 25.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  26. 26.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  27. 27.A cuboid is 3 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  28. 28.A cuboid is 5 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 12 cm and 15 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 22 cm and 15 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 20 cm and 20 cm. What is its area (in square cm)?
  33. 33.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  34. 34.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  35. 35.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  36. 36.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  37. 37.A cuboid is 5 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 5 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  39. 39.A trapezium has an area of 220 square cm. Its parallel sides are 16 cm and 28 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has an area of 104 square cm. Its parallel sides are 10 cm and 3 cm. What is the distance between them (in cm)?

Answer key

  1. 140
  2. 8
  3. 2400
  4. 15
  5. 292
  6. 260
  7. 80
  8. 20
  9. 64
  10. 208
  11. 30
  12. 96
  13. 8
  14. 176
  15. 187
  16. 12
  17. 19
  18. 3174
  19. 128
  20. 96
  21. 4
  22. 170
  23. 12
  24. 2166
  25. 294
  26. 18
  27. 342
  28. 210
  29. 54
  30. 135
  31. 165
  32. 200
  33. 11
  34. 864
  35. 7
  36. 2646
  37. 238
  38. 192
  39. 10
  40. 16

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