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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 216 · 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 10 cm and 15 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  3. 3.The diagonals of a rhombus are 14 cm and 24 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 6 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  5. 5.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  6. 6.A cuboid is 14 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  7. 7.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  9. 9.A trapezium has an area of 144 square cm. Its parallel sides are 11 cm and 25 cm. What is the distance between them (in cm)?
  10. 10.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 8 cm and 27 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 24 cm and 6 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  14. 14.A room is 7 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.A room is 7 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.A cuboid is 7 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  17. 17.A trapezium has parallel sides of 6 cm and 11 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  18. 18.A trapezium has an area of 315 square cm. Its parallel sides are 30 cm and 5 cm. What is the distance between them (in cm)?
  19. 19.A trapezium has an area of 150 square cm. Its parallel sides are 9 cm and 11 cm. What is the distance between them (in cm)?
  20. 20.The diagonals of a rhombus are 6 cm and 26 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 23 cm and 2 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 10 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 24 cm and 2 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  24. 24.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  25. 25.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has parallel sides of 26 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 16 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  28. 28.A trapezium has an area of 93 square cm. Its parallel sides are 26 cm and 5 cm. What is the distance between them (in cm)?
  29. 29.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 4 cm and 21 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 76 square cm. Its parallel sides are 24 cm and 14 cm. What is the distance between them (in cm)?
  32. 32.A cuboid is 7 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  33. 33.A cuboid is 11 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  34. 34.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  35. 35.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 10 cm and 2 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 7 cm and 27 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 6 cm and 4 cm. What is its area (in square cm)?
  39. 39.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has an area of 175 square cm. Its parallel sides are 23 cm and 12 cm. What is the distance between them (in cm)?

Answer key

  1. 75
  2. 10
  3. 168
  4. 99
  5. 6
  6. 620
  7. 84
  8. 72
  9. 8
  10. 216
  11. 245
  12. 72
  13. 11
  14. 150
  15. 96
  16. 172
  17. 119
  18. 18
  19. 15
  20. 78
  21. 200
  22. 33
  23. 143
  24. 9
  25. 84
  26. 70
  27. 280
  28. 6
  29. 600
  30. 42
  31. 4
  32. 222
  33. 514
  34. 1014
  35. 54
  36. 66
  37. 323
  38. 12
  39. 15
  40. 10

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