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

Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 304 · 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 parallel sides of 6 cm and 4 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  2. 2.A cuboid is 12 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  3. 3.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has an area of 323 square cm. Its parallel sides are 28 cm and 6 cm. What is the distance between them (in cm)?
  5. 5.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  6. 6.A trapezium has parallel sides of 21 cm and 30 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 16 cm and 15 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  9. 9.The diagonals of a rhombus are 20 cm and 21 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 81 square cm. Its parallel sides are 10 cm and 17 cm. What is the distance between them (in cm)?
  11. 11.A trapezium has an area of 56 square cm. Its parallel sides are 19 cm and 9 cm. What is the distance between them (in cm)?
  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 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has parallel sides of 27 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  15. 15.The diagonals of a rhombus are 30 cm and 20 cm. What is its area (in square cm)?
  16. 16.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)?
  17. 17.A cuboid is 9 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  18. 18.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  21. 21.The diagonals of a rhombus are 30 cm and 27 cm. What is its area (in square cm)?
  22. 22.A trapezium has an area of 168 square cm. Its parallel sides are 16 cm and 26 cm. What is the distance between them (in cm)?
  23. 23.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 20 cm and 13 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 240 square cm. Its parallel sides are 5 cm and 19 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has parallel sides of 13 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  29. 29.The diagonals of a rhombus are 22 cm and 14 cm. What is its area (in square cm)?
  30. 30.A cuboid is 8 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 4 cm and 5 cm. What is its area (in square cm)?
  32. 32.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  33. 33.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has parallel sides of 14 cm and 30 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 12 cm and 14 cm. What is its area (in square cm)?
  36. 36.A cuboid is 7 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  37. 37.The diagonals of a rhombus are 8 cm and 5 cm. What is its area (in square cm)?
  38. 38.A cuboid is 7 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 8 cm and 18 cm. What is its area (in square cm)?
  40. 40.A cuboid is 13 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?

Answer key

  1. 45
  2. 510
  3. 20
  4. 19
  5. 4
  6. 306
  7. 120
  8. 16
  9. 210
  10. 6
  11. 4
  12. 7
  13. 110
  14. 29
  15. 300
  16. 174
  17. 246
  18. 60
  19. 160
  20. 15
  21. 405
  22. 8
  23. 600
  24. 33
  25. 20
  26. 63
  27. 1014
  28. 216
  29. 154
  30. 376
  31. 10
  32. 18
  33. 78
  34. 220
  35. 84
  36. 202
  37. 20
  38. 276
  39. 72
  40. 142

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