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

Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 4 · 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 30 square cm. Its parallel sides are 7 cm and 8 cm. What is the distance between them (in cm)?
  2. 2.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  3. 3.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 10 cm and 26 cm. What is its area (in square cm)?
  5. 5.A room is 10 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  6. 6.The diagonals of a rhombus are 6 cm and 25 cm. What is its area (in square cm)?
  7. 7.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  8. 8.A cuboid is 14 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 4 cm and 24 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  11. 11.The diagonals of a rhombus are 6 cm and 17 cm. What is its area (in square cm)?
  12. 12.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  13. 13.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
  14. 14.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  15. 15.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  16. 16.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
  17. 17.A cuboid is 3 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 296 square cm. Its parallel sides are 8 cm and 29 cm. What is the distance between them (in cm)?
  19. 19.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  20. 20.The diagonals of a rhombus are 28 cm and 15 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  22. 22.A trapezium has parallel sides of 10 cm and 18 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  23. 23.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.A trapezium has parallel sides of 16 cm and 12 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 245 square cm. Its parallel sides are 30 cm and 19 cm. What is the distance between them (in cm)?
  28. 28.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  29. 29.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  30. 30.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.A room is 12 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has parallel sides of 7 cm and 13 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  33. 33.The diagonals of a rhombus are 24 cm and 22 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 25 cm and 4 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  35. 35.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  36. 36.The diagonals of a rhombus are 16 cm and 7 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 190 square cm. Its parallel sides are 9 cm and 10 cm. What is the distance between them (in cm)?
  38. 38.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 20 cm and 5 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  40. 40.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?

Answer key

  1. 4
  2. 54
  3. 486
  4. 130
  5. 180
  6. 75
  7. 5
  8. 700
  9. 56
  10. 12
  11. 51
  12. 20
  13. 16
  14. 9
  15. 4
  16. 6
  17. 92
  18. 16
  19. 3750
  20. 210
  21. 1944
  22. 28
  23. 112
  24. 90
  25. 224
  26. 600
  27. 10
  28. 1536
  29. 78
  30. 150
  31. 200
  32. 170
  33. 264
  34. 203
  35. 150
  36. 56
  37. 20
  38. 2904
  39. 100
  40. 1350

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