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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 15 · 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 an area of 64 square cm. Its parallel sides are 12 cm and 4 cm. What is the distance between them (in cm)?
  2. 2.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  3. 3.A trapezium has an area of 34 square cm. Its parallel sides are 11 cm and 6 cm. What is the distance between them (in cm)?
  4. 4.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has an area of 32 square cm. Its parallel sides are 6 cm and 10 cm. What is the distance between them (in cm)?
  6. 6.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  7. 7.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.A cuboid is 6 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  9. 9.A cuboid is 6 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 12 cm and 22 cm. What is its area (in square cm)?
  11. 11.The diagonals of a rhombus are 20 cm and 22 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 30 cm and 4 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  13. 13.A cuboid is 10 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  14. 14.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  15. 15.The diagonals of a rhombus are 12 cm and 19 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  17. 17.A room is 9 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  19. 19.A cuboid is 8 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  20. 20.The diagonals of a rhombus are 14 cm and 12 cm. What is its area (in square cm)?
  21. 21.A room is 12 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.A trapezium has parallel sides of 11 cm and 16 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  23. 23.A cuboid is 10 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.A trapezium has an area of 152 square cm. Its parallel sides are 30 cm and 8 cm. What is the distance between them (in cm)?
  25. 25.The diagonals of a rhombus are 30 cm and 6 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  27. 27.The diagonals of a rhombus are 10 cm and 5 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 27 cm and 25 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  29. 29.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  30. 30.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  31. 31.A cuboid is 5 cm long, 7 cm wide and 2 cm high. 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.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
  34. 34.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has an area of 62 square cm. Its parallel sides are 4 cm and 27 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has an area of 18 square cm. Its parallel sides are 5 cm and 4 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has an area of 135 square cm. Its parallel sides are 15 cm and 12 cm. What is the distance between them (in cm)?
  38. 38.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  39. 39.A trapezium has parallel sides of 22 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  40. 40.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?

Answer key

  1. 8
  2. 7
  3. 4
  4. 150
  5. 4
  6. 14
  7. 48
  8. 318
  9. 88
  10. 132
  11. 220
  12. 85
  13. 220
  14. 4
  15. 114
  16. 5
  17. 114
  18. 1536
  19. 320
  20. 84
  21. 144
  22. 135
  23. 112
  24. 8
  25. 90
  26. 3174
  27. 25
  28. 156
  29. 16
  30. 2
  31. 118
  32. 170
  33. 112
  34. 17
  35. 4
  36. 4
  37. 10
  38. 13
  39. 116
  40. 12

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