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

Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 308 · 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.A trapezium has an area of 69 square cm. Its parallel sides are 17 cm and 6 cm. What is the distance between them (in cm)?
  2. 2.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  3. 3.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
  4. 4.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  5. 5.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 144 square cm. Its parallel sides are 26 cm and 10 cm. What is the distance between them (in cm)?
  7. 7.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  8. 8.A trapezium has parallel sides of 10 cm and 25 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  9. 9.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  10. 10.A trapezium has parallel sides of 22 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  11. 11.A room is 11 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  13. 13.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.A cuboid is 3 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  16. 16.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  17. 17.A cuboid is 11 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  18. 18.A cuboid is 3 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  19. 19.A cuboid is 4 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has an area of 90 square cm. Its parallel sides are 17 cm and 13 cm. What is the distance between them (in cm)?
  21. 21.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
  22. 22.A room is 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  24. 24.The diagonals of a rhombus are 12 cm and 13 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 37 square cm. Its parallel sides are 9 cm and 28 cm. What is the distance between them (in cm)?
  26. 26.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  28. 28.A cuboid is 15 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  29. 29.A room is 7 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.A room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.A trapezium has an area of 14 square cm. Its parallel sides are 4 cm and 3 cm. What is the distance between them (in cm)?
  32. 32.A cuboid is 5 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  33. 33.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  34. 34.A cuboid is 6 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  35. 35.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  36. 36.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  37. 37.A cuboid is 7 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 7 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has parallel sides of 17 cm and 6 cm, and the distance between them is 20 cm. What is its area (in square cm)?

Answer key

  1. 6
  2. 110
  3. 44
  4. 5
  5. 24
  6. 8
  7. 600
  8. 210
  9. 486
  10. 84
  11. 102
  12. 7
  13. 100
  14. 110
  15. 92
  16. 96
  17. 208
  18. 164
  19. 248
  20. 6
  21. 60
  22. 100
  23. 9
  24. 78
  25. 2
  26. 80
  27. 72
  28. 600
  29. 120
  30. 150
  31. 4
  32. 236
  33. 160
  34. 144
  35. 216
  36. 12
  37. 350
  38. 242
  39. 4
  40. 230

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