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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 327 · 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).

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  1. 1.A room is 12 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.The diagonals of a rhombus are 20 cm and 27 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  4. 4.A trapezium has parallel sides of 5 cm and 28 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 22 cm and 4 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 30 cm and 21 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 300 square cm. Its parallel sides are 24 cm and 6 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has an area of 270 square cm. Its parallel sides are 20 cm and 7 cm. What is the distance between them (in cm)?
  10. 10.A cuboid is 7 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  11. 11.The diagonals of a rhombus are 4 cm and 26 cm. What is its area (in square cm)?
  12. 12.A room is 11 m long, 9 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 288 square cm. Its parallel sides are 13 cm and 19 cm. What is the distance between them (in cm)?
  14. 14.A trapezium has an area of 39 square cm. Its parallel sides are 16 cm and 23 cm. What is the distance between them (in cm)?
  15. 15.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.A trapezium has an area of 25 square cm. Its parallel sides are 10 cm and 15 cm. What is the distance between them (in cm)?
  17. 17.A cuboid is 6 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  18. 18.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  19. 19.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has an area of 126 square cm. Its parallel sides are 26 cm and 10 cm. What is the distance between them (in cm)?
  21. 21.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  22. 22.A trapezium has parallel sides of 21 cm and 19 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 13 cm and 9 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  24. 24.The diagonals of a rhombus are 30 cm and 10 cm. What is its area (in square cm)?
  25. 25.A trapezium has an area of 222 square cm. Its parallel sides are 29 cm and 8 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has an area of 357 square cm. Its parallel sides are 13 cm and 29 cm. What is the distance between them (in cm)?
  27. 27.A trapezium has parallel sides of 29 cm and 15 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  28. 28.A trapezium has an area of 342 square cm. Its parallel sides are 23 cm and 15 cm. What is the distance between them (in cm)?
  29. 29.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.A trapezium has an area of 255 square cm. Its parallel sides are 27 cm and 24 cm. What is the distance between them (in cm)?
  31. 31.A trapezium has parallel sides of 16 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 16 cm and 28 cm. What is its 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 room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  36. 36.A cuboid is 13 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 12 cm and 14 cm, and the distance between them is 16 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.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has an area of 33 square cm. Its parallel sides are 26 cm and 7 cm. What is the distance between them (in cm)?

Answer key

  1. 210
  2. 270
  3. 384
  4. 165
  5. 2166
  6. 39
  7. 315
  8. 20
  9. 20
  10. 310
  11. 52
  12. 200
  13. 18
  14. 2
  15. 90
  16. 2
  17. 266
  18. 6
  19. 2
  20. 7
  21. 2904
  22. 60
  23. 55
  24. 150
  25. 12
  26. 17
  27. 396
  28. 18
  29. 144
  30. 10
  31. 30
  32. 224
  33. 216
  34. 72
  35. 8
  36. 628
  37. 208
  38. 220
  39. 16
  40. 2

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