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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 240 · 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 an area of 176 square cm. Its parallel sides are 29 cm and 15 cm. What is the distance between them (in cm)?
  3. 3.A trapezium has parallel sides of 17 cm and 21 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 12 cm and 28 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  5. 5.The diagonals of a rhombus are 28 cm and 7 cm. What is its area (in square cm)?
  6. 6.A cuboid is 3 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has an area of 234 square cm. Its parallel sides are 21 cm and 15 cm. What is the distance between them (in cm)?
  8. 8.A cuboid is 12 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  9. 9.A cuboid is 12 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  10. 10.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.The diagonals of a rhombus are 4 cm and 19 cm. What is its area (in square cm)?
  12. 12.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  13. 13.A trapezium has an area of 170 square cm. Its parallel sides are 7 cm and 10 cm. What is the distance between them (in cm)?
  14. 14.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  15. 15.A cuboid is 10 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has parallel sides of 30 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  17. 17.A room is 3 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has parallel sides of 18 cm and 8 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  19. 19.A trapezium has parallel sides of 22 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  20. 20.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.A room is 9 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.A room is 4 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  24. 24.A trapezium has an area of 66 square cm. Its parallel sides are 15 cm and 18 cm. What is the distance between them (in cm)?
  25. 25.A cuboid is 5 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  26. 26.A trapezium has an area of 31 square cm. Its parallel sides are 9 cm and 22 cm. What is the distance between them (in cm)?
  27. 27.A trapezium has parallel sides of 18 cm and 13 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 11 cm and 14 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  29. 29.A room is 12 m long, 7 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 4 cm and 10 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 360 square cm. Its parallel sides are 30 cm and 15 cm. What is the distance between them (in cm)?
  32. 32.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  33. 33.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  34. 34.A room is 4 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  36. 36.The diagonals of a rhombus are 26 cm and 26 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 132 square cm. Its parallel sides are 21 cm and 3 cm. What is the distance between them (in cm)?
  38. 38.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.The diagonals of a rhombus are 4 cm and 26 cm. What is its area (in square cm)?
  40. 40.A cuboid is 4 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?

Answer key

  1. 12
  2. 8
  3. 133
  4. 380
  5. 98
  6. 138
  7. 13
  8. 432
  9. 160
  10. 80
  11. 38
  12. 130
  13. 20
  14. 486
  15. 310
  16. 53
  17. 56
  18. 260
  19. 93
  20. 150
  21. 102
  22. 66
  23. 11
  24. 4
  25. 286
  26. 2
  27. 31
  28. 250
  29. 152
  30. 20
  31. 16
  32. 1734
  33. 1536
  34. 120
  35. 2400
  36. 338
  37. 11
  38. 150
  39. 52
  40. 124

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