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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 35 · 40 sums
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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.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 20 cm and 27 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 26 cm and 20 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 30 cm and 4 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 12 cm and 6 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  9. 9.A cuboid is 5 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has parallel sides of 10 cm and 6 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  12. 12.A cuboid is 8 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  13. 13.A cuboid is 12 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  14. 14.A cuboid is 11 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 7 cm and 26 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  16. 16.A trapezium has an area of 460 square cm. Its parallel sides are 29 cm and 17 cm. What is the distance between them (in cm)?
  17. 17.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 16 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 7 cm and 29 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 10 cm and 13 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  22. 22.A trapezium has an area of 63 square cm. Its parallel sides are 13 cm and 8 cm. What is the distance between them (in cm)?
  23. 23.A trapezium has parallel sides of 12 cm and 8 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 18 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 88 square cm. Its parallel sides are 5 cm and 6 cm. What is the distance between them (in cm)?
  26. 26.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.A cuboid is 12 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has an area of 150 square cm. Its parallel sides are 25 cm and 5 cm. What is the distance between them (in cm)?
  29. 29.A trapezium has parallel sides of 15 cm and 11 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  30. 30.A room is 11 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.A trapezium has an area of 459 square cm. Its parallel sides are 30 cm and 21 cm. What is the distance between them (in cm)?
  32. 32.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  33. 33.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has an area of 250 square cm. Its parallel sides are 5 cm and 20 cm. What is the distance between them (in cm)?
  35. 35.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  36. 36.A trapezium has an area of 168 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has parallel sides of 28 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  38. 38.A cuboid is 14 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.The diagonals of a rhombus are 4 cm and 4 cm. What is its area (in square cm)?

Answer key

  1. 96
  2. 423
  3. 260
  4. 34
  5. 726
  6. 2
  7. 99
  8. 1944
  9. 230
  10. 13
  11. 136
  12. 236
  13. 416
  14. 586
  15. 264
  16. 20
  17. 90
  18. 2166
  19. 57
  20. 162
  21. 184
  22. 6
  23. 20
  24. 63
  25. 16
  26. 42
  27. 672
  28. 10
  29. 26
  30. 102
  31. 18
  32. 66
  33. 10
  34. 20
  35. 1014
  36. 14
  37. 212
  38. 220
  39. 114
  40. 8

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