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

Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 136 · 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 175 square cm. Its parallel sides are 4 cm and 21 cm. What is the distance between them (in cm)?
  2. 2.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  4. 4.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  5. 5.The diagonals of a rhombus are 30 cm and 6 cm. What is its area (in square cm)?
  6. 6.A cuboid is 4 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  7. 7.A room is 12 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  8. 8.A trapezium has an area of 11 square cm. Its parallel sides are 9 cm and 2 cm. What is the distance between them (in cm)?
  9. 9.The diagonals of a rhombus are 22 cm and 12 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 5 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  11. 11.A trapezium has an area of 32 square cm. Its parallel sides are 23 cm and 9 cm. What is the distance between them (in cm)?
  12. 12.A cuboid is 8 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  13. 13.A cuboid is 12 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  14. 14.A room is 9 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  15. 15.The diagonals of a rhombus are 28 cm and 13 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 22 cm and 20 cm, and the distance between them is 15 cm. What is its 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.A trapezium has an area of 32 square cm. Its parallel sides are 9 cm and 7 cm. What is the distance between them (in cm)?
  19. 19.A trapezium has parallel sides of 12 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  20. 20.A trapezium has an area of 280 square cm. Its parallel sides are 17 cm and 18 cm. What is the distance between them (in cm)?
  21. 21.The diagonals of a rhombus are 4 cm and 4 cm. What is its area (in square cm)?
  22. 22.A trapezium has an area of 96 square cm. Its parallel sides are 10 cm and 2 cm. What is the distance between them (in cm)?
  23. 23.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.A room is 12 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.The diagonals of a rhombus are 8 cm and 7 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 6 cm and 13 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  29. 29.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  30. 30.A trapezium has parallel sides of 16 cm and 13 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  31. 31.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.The diagonals of a rhombus are 16 cm and 18 cm. What is its area (in square cm)?
  33. 33.A trapezium has an area of 54 square cm. Its parallel sides are 13 cm and 14 cm. What is the distance between them (in cm)?
  34. 34.The diagonals of a rhombus are 16 cm and 10 cm. What is its area (in square cm)?
  35. 35.A cuboid is 13 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  36. 36.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
  37. 37.A cuboid is 7 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  38. 38.A trapezium has parallel sides of 29 cm and 30 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  39. 39.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  40. 40.The diagonals of a rhombus are 20 cm and 18 cm. What is its area (in square cm)?

Answer key

  1. 14
  2. 6
  3. 4
  4. 20
  5. 90
  6. 80
  7. 168
  8. 2
  9. 132
  10. 170
  11. 2
  12. 202
  13. 282
  14. 120
  15. 182
  16. 315
  17. 3456
  18. 4
  19. 185
  20. 16
  21. 8
  22. 16
  23. 66
  24. 114
  25. 28
  26. 39
  27. 600
  28. 1014
  29. 18
  30. 203
  31. 126
  32. 144
  33. 4
  34. 80
  35. 238
  36. 112
  37. 188
  38. 354
  39. 3174
  40. 180

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