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

Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 1 · 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 diagonals of a rhombus are 4 cm and 20 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  3. 3.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  4. 4.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  5. 5.A cuboid is 15 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 17 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 14 cm and 9 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  9. 9.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  10. 10.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  11. 11.The diagonals of a rhombus are 24 cm and 13 cm. What is its area (in square cm)?
  12. 12.A cuboid is 11 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  13. 13.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  14. 14.A cuboid is 13 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  15. 15.A cuboid is 4 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 273 square cm. Its parallel sides are 27 cm and 12 cm. What is the distance between them (in cm)?
  17. 17.A trapezium has an area of 285 square cm. Its parallel sides are 27 cm and 30 cm. What is the distance between them (in cm)?
  18. 18.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  19. 19.A room is 8 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has parallel sides of 5 cm and 24 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  22. 22.A cuboid is 3 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  23. 23.A room is 6 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  24. 24.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  26. 26.A cuboid is 4 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  27. 27.Each edge of a cube is 24 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.A room is 8 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.The diagonals of a rhombus are 30 cm and 19 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 430 square cm. Its parallel sides are 28 cm and 15 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.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  34. 34.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.A trapezium has parallel sides of 16 cm and 22 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  36. 36.A cuboid is 12 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 17 cm and 7 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  38. 38.A trapezium has an area of 172 square cm. Its parallel sides are 13 cm and 30 cm. What is the distance between them (in cm)?
  39. 39.A trapezium has an area of 21 square cm. Its parallel sides are 19 cm and 2 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has an area of 116 square cm. Its parallel sides are 17 cm and 12 cm. What is the distance between them (in cm)?

Answer key

  1. 40
  2. 15
  3. 160
  4. 864
  5. 450
  6. 8
  7. 76
  8. 92
  9. 12
  10. 4
  11. 156
  12. 640
  13. 294
  14. 398
  15. 122
  16. 14
  17. 10
  18. 24
  19. 120
  20. 261
  21. 18
  22. 138
  23. 90
  24. 72
  25. 5
  26. 94
  27. 3456
  28. 216
  29. 88
  30. 285
  31. 20
  32. 1944
  33. 3750
  34. 66
  35. 304
  36. 300
  37. 180
  38. 8
  39. 2
  40. 8

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