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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 86 · 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 trapezium has parallel sides of 24 cm and 8 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  3. 3.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has parallel sides of 17 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 7 cm and 4 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 129 square cm. Its parallel sides are 28 cm and 15 cm. What is the distance between them (in cm)?
  7. 7.A cuboid is 9 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  8. 8.A cuboid is 13 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  9. 9.A cuboid is 6 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  10. 10.A cuboid is 4 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  11. 11.The diagonals of a rhombus are 18 cm and 26 cm. What is its area (in square cm)?
  12. 12.A trapezium has an area of 480 square cm. Its parallel sides are 21 cm and 27 cm. What is the distance between them (in cm)?
  13. 13.A trapezium has parallel sides of 19 cm and 8 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  14. 14.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  15. 15.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  16. 16.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  17. 17.A trapezium has an area of 423 square cm. Its parallel sides are 24 cm and 23 cm. What is the distance between them (in cm)?
  18. 18.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  20. 20.A cuboid is 14 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  21. 21.A cuboid is 3 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  22. 22.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.A trapezium has an area of 280 square cm. Its parallel sides are 20 cm and 8 cm. What is the distance between them (in cm)?
  24. 24.A trapezium has parallel sides of 29 cm and 9 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  25. 25.The diagonals of a rhombus are 4 cm and 18 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  27. 27.A cuboid is 12 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  28. 28.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.The diagonals of a rhombus are 28 cm and 13 cm. What is its area (in square cm)?
  30. 30.A trapezium has an area of 64 square cm. Its parallel sides are 26 cm and 6 cm. What is the distance between them (in cm)?
  31. 31.The diagonals of a rhombus are 30 cm and 7 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 27 cm and 25 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  33. 33.A trapezium has an area of 240 square cm. Its parallel sides are 11 cm and 21 cm. What is the distance between them (in cm)?
  34. 34.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  35. 35.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  36. 36.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  37. 37.A cuboid is 7 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  38. 38.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  39. 39.A trapezium has an area of 48 square cm. Its parallel sides are 6 cm and 10 cm. What is the distance between them (in cm)?
  40. 40.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?

Answer key

  1. 112
  2. 19
  3. 12
  4. 168
  5. 11
  6. 6
  7. 150
  8. 376
  9. 360
  10. 176
  11. 234
  12. 20
  13. 108
  14. 2166
  15. 90
  16. 3456
  17. 18
  18. 150
  19. 18
  20. 220
  21. 102
  22. 66
  23. 20
  24. 285
  25. 36
  26. 8
  27. 358
  28. 80
  29. 182
  30. 4
  31. 105
  32. 286
  33. 15
  34. 9
  35. 1536
  36. 6
  37. 208
  38. 80
  39. 6
  40. 16

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