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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 161 · 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).

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  1. 1.A room is 9 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  3. 3.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  4. 4.A cuboid is 8 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  5. 5.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  6. 6.A trapezium has parallel sides of 29 cm and 11 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  7. 7.A trapezium has an area of 273 square cm. Its parallel sides are 15 cm and 24 cm. What is the distance between them (in cm)?
  8. 8.A trapezium has parallel sides of 16 cm and 12 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
  10. 10.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  11. 11.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 26 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  13. 13.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  14. 14.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  15. 15.A cuboid is 10 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  16. 16.A trapezium has parallel sides of 29 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  17. 17.A cuboid is 13 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 19 square cm. Its parallel sides are 16 cm and 3 cm. What is the distance between them (in cm)?
  19. 19.A room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.The diagonals of a rhombus are 26 cm and 22 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  22. 22.A trapezium has an area of 410 square cm. Its parallel sides are 27 cm and 14 cm. What is the distance between them (in cm)?
  23. 23.A cuboid is 15 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 10 cm and 26 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  25. 25.A cuboid is 5 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  26. 26.A cuboid is 10 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 328 square cm. Its parallel sides are 24 cm and 17 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has parallel sides of 14 cm and 7 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 150 square cm. Its parallel sides are 14 cm and 11 cm. What is the distance between them (in cm)?
  30. 30.A trapezium has parallel sides of 30 cm and 7 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  31. 31.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.A cuboid is 10 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  33. 33.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 16 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  35. 35.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  36. 36.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  37. 37.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 78 square cm. Its parallel sides are 20 cm and 19 cm. What is the distance between them (in cm)?
  40. 40.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?

Answer key

  1. 190
  2. 72
  3. 12
  4. 202
  5. 19
  6. 80
  7. 14
  8. 70
  9. 16
  10. 72
  11. 384
  12. 231
  13. 120
  14. 2904
  15. 276
  16. 111
  17. 232
  18. 2
  19. 88
  20. 286
  21. 1014
  22. 20
  23. 414
  24. 360
  25. 62
  26. 112
  27. 16
  28. 210
  29. 12
  30. 111
  31. 112
  32. 592
  33. 216
  34. 171
  35. 24
  36. 18
  37. 96
  38. 108
  39. 4
  40. 96

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