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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 310 · 40 sums
TalentJR

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 8 cm and 18 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 5 cm and 29 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  4. 4.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has an area of 99 square cm. Its parallel sides are 21 cm and 12 cm. What is the distance between them (in cm)?
  6. 6.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.A trapezium has parallel sides of 23 cm and 13 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  9. 9.A cuboid is 4 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  11. 11.A cuboid is 13 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  12. 12.The diagonals of a rhombus are 24 cm and 5 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 8 cm and 13 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 16 cm and 26 cm. What is its area (in square cm)?
  15. 15.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  16. 16.A cuboid is 3 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  17. 17.A trapezium has an area of 40 square cm. Its parallel sides are 30 cm and 10 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has an area of 147 square cm. Its parallel sides are 28 cm and 21 cm. What is the distance between them (in cm)?
  19. 19.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  20. 20.A room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  21. 21.A cuboid is 9 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  22. 22.The diagonals of a rhombus are 16 cm and 5 cm. What is its area (in square cm)?
  23. 23.A room is 4 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.A trapezium has parallel sides of 9 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 84 square cm. Its parallel sides are 11 cm and 10 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has parallel sides of 18 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  27. 27.The diagonals of a rhombus are 16 cm and 11 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 9 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  29. 29.The diagonals of a rhombus are 10 cm and 20 cm. What is its area (in square cm)?
  30. 30.A trapezium has parallel sides of 30 cm and 25 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  31. 31.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  32. 32.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.A cuboid is 3 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  34. 34.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  36. 36.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  37. 37.A trapezium has parallel sides of 26 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  38. 38.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  39. 39.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has an area of 279 square cm. Its parallel sides are 23 cm and 8 cm. What is the distance between them (in cm)?

Answer key

  1. 72
  2. 255
  3. 2166
  4. 3174
  5. 6
  6. 126
  7. 216
  8. 24
  9. 112
  10. 3
  11. 586
  12. 60
  13. 52
  14. 208
  15. 10
  16. 102
  17. 2
  18. 6
  19. 15
  20. 88
  21. 254
  22. 40
  23. 80
  24. 108
  25. 8
  26. 72
  27. 88
  28. 190
  29. 100
  30. 55
  31. 12
  32. 160
  33. 72
  34. 60
  35. 13
  36. 19
  37. 102
  38. 2
  39. 16
  40. 18

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