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

Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 106 · 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 total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has parallel sides of 8 cm and 25 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  4. 4.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 6 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 75 square cm. Its parallel sides are 12 cm and 13 cm. What is the distance between them (in cm)?
  7. 7.A cuboid is 11 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  8. 8.A cuboid is 5 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  9. 9.A room is 6 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.A trapezium has parallel sides of 8 cm and 16 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  11. 11.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  12. 12.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has an area of 102 square cm. Its parallel sides are 13 cm and 4 cm. What is the distance between them (in cm)?
  14. 14.A room is 8 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.The diagonals of a rhombus are 4 cm and 15 cm. What is its area (in square cm)?
  16. 16.A room is 7 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.The diagonals of a rhombus are 14 cm and 4 cm. What is its area (in square cm)?
  18. 18.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  19. 19.A room is 4 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has parallel sides of 6 cm and 30 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
  22. 22.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  23. 23.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  24. 24.A trapezium has parallel sides of 14 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  25. 25.A cuboid is 14 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  26. 26.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  27. 27.A trapezium has an area of 126 square cm. Its parallel sides are 7 cm and 14 cm. What is the distance between them (in cm)?
  28. 28.A cuboid is 5 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  29. 29.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  31. 31.A trapezium has an area of 296 square cm. Its parallel sides are 17 cm and 20 cm. What is the distance between them (in cm)?
  32. 32.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  33. 33.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.A cuboid is 5 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 28 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  36. 36.A cuboid is 4 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  37. 37.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  38. 38.A trapezium has an area of 136 square cm. Its parallel sides are 13 cm and 3 cm. What is the distance between them (in cm)?
  39. 39.A trapezium has parallel sides of 16 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  40. 40.A room is 8 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 12
  2. 99
  3. 1176
  4. 80
  5. 27
  6. 6
  7. 370
  8. 310
  9. 90
  10. 144
  11. 54
  12. 11
  13. 12
  14. 180
  15. 30
  16. 120
  17. 28
  18. 726
  19. 80
  20. 72
  21. 87
  22. 1014
  23. 16
  24. 110
  25. 488
  26. 7
  27. 12
  28. 288
  29. 160
  30. 3750
  31. 16
  32. 1944
  33. 160
  34. 78
  35. 94
  36. 360
  37. 10
  38. 17
  39. 54
  40. 96

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