← Mensuration: trapezium, cuboid and cube lesson New set →

Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 105 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The diagonals of a rhombus are 14 cm and 6 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 28 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  3. 3.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.A cuboid is 14 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  5. 5.A cuboid is 8 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  6. 6.A room is 10 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.The diagonals of a rhombus are 22 cm and 8 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 24 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 22 cm and 4 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  11. 11.A cuboid is 12 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 27 cm and 6 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  14. 14.A trapezium has parallel sides of 8 cm and 11 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  15. 15.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  16. 16.A cuboid is 6 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  17. 17.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  18. 18.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  19. 19.A trapezium has parallel sides of 13 cm and 8 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 28 cm and 14 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  22. 22.A cuboid is 14 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  23. 23.A trapezium has parallel sides of 14 cm and 3 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  24. 24.A cuboid is 4 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has an area of 58 square cm. Its parallel sides are 20 cm and 9 cm. What is the distance between them (in cm)?
  26. 26.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 23 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 25 cm and 17 cm, and the distance between them is 9 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 864 square cm. How long is each edge (in cm)?
  31. 31.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  32. 32.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  33. 33.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  34. 34.The diagonals of a rhombus are 28 cm and 14 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 20 cm and 19 cm. What is its area (in square cm)?
  36. 36.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  37. 37.The diagonals of a rhombus are 12 cm and 7 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 22 cm and 8 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  39. 39.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?

Answer key

  1. 42
  2. 144
  3. 72
  4. 344
  5. 412
  6. 140
  7. 88
  8. 300
  9. 44
  10. 600
  11. 720
  12. 330
  13. 3
  14. 114
  15. 18
  16. 258
  17. 3456
  18. 17
  19. 189
  20. 294
  21. 864
  22. 758
  23. 119
  24. 208
  25. 4
  26. 1734
  27. 56
  28. 189
  29. 16
  30. 12
  31. 2
  32. 13
  33. 15
  34. 196
  35. 190
  36. 726
  37. 42
  38. 300
  39. 70
  40. 4

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets