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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 323 · 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.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 8 cm and 10 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 26 cm and 6 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 27 cm and 11 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  5. 5.The diagonals of a rhombus are 16 cm and 14 cm. What is its area (in square cm)?
  6. 6.A cuboid is 3 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  7. 7.A cuboid is 14 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  8. 8.The diagonals of a rhombus are 6 cm and 21 cm. What is its 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.A room is 9 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.A cuboid is 3 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 6 cm and 23 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  13. 13.A trapezium has an area of 129 square cm. Its parallel sides are 24 cm and 19 cm. What is the distance between them (in cm)?
  14. 14.The diagonals of a rhombus are 20 cm and 21 cm. What is its area (in square cm)?
  15. 15.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  16. 16.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  18. 18.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  19. 19.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has parallel sides of 29 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  21. 21.A room is 5 m long, 4 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 14 cm and 17 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  23. 23.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.The diagonals of a rhombus are 12 cm and 12 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  26. 26.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  27. 27.A room is 3 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  28. 28.The total surface area of a cube is 726 square cm. How long is each edge (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 10 cm and 28 cm. What is its area (in square cm)?
  31. 31.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has parallel sides of 9 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  33. 33.A room is 11 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has an area of 270 square cm. Its parallel sides are 30 cm and 24 cm. What is the distance between them (in cm)?
  35. 35.A cuboid is 6 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  37. 37.A trapezium has an area of 65 square cm. Its parallel sides are 17 cm and 9 cm. What is the distance between them (in cm)?
  38. 38.A trapezium has an area of 75 square cm. Its parallel sides are 19 cm and 6 cm. What is the distance between them (in cm)?
  39. 39.A trapezium has an area of 301 square cm. Its parallel sides are 17 cm and 26 cm. What is the distance between them (in cm)?
  40. 40.A cuboid is 15 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?

Answer key

  1. 1350
  2. 40
  3. 78
  4. 190
  5. 112
  6. 112
  7. 248
  8. 63
  9. 2166
  10. 190
  11. 174
  12. 174
  13. 6
  14. 210
  15. 486
  16. 96
  17. 16
  18. 17
  19. 48
  20. 100
  21. 72
  22. 217
  23. 84
  24. 72
  25. 12
  26. 1176
  27. 96
  28. 11
  29. 600
  30. 140
  31. 108
  32. 50
  33. 170
  34. 10
  35. 136
  36. 20
  37. 5
  38. 6
  39. 14
  40. 386

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