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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 169 · 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 7 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.A trapezium has an area of 35 square cm. Its parallel sides are 26 cm and 9 cm. What is the distance between them (in cm)?
  3. 3.A cuboid is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  4. 4.A cuboid is 3 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  5. 5.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  6. 6.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.A trapezium has parallel sides of 26 cm and 14 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  9. 9.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  10. 10.The diagonals of a rhombus are 22 cm and 30 cm. What is its area (in square cm)?
  11. 11.A cuboid is 4 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  12. 12.A cuboid is 3 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  13. 13.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  14. 14.A cuboid is 13 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  15. 15.A room is 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  16. 16.A trapezium has parallel sides of 26 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 42 square cm. Its parallel sides are 6 cm and 15 cm. What is the distance between them (in cm)?
  18. 18.A cuboid is 12 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  19. 19.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.A room is 10 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  21. 21.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  22. 22.A cuboid is 4 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  23. 23.A trapezium has parallel sides of 22 cm and 20 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 18 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  25. 25.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  26. 26.A room is 6 m long, 8 m wide and 5 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 10 cm high. What is its total surface area (in square cm)?
  28. 28.A room is 6 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  29. 29.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  30. 30.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  31. 31.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  32. 32.A trapezium has parallel sides of 12 cm and 2 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  33. 33.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  34. 34.A room is 8 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.The diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
  36. 36.A cuboid is 4 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  37. 37.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  38. 38.The diagonals of a rhombus are 14 cm and 9 cm. What is its area (in square cm)?
  39. 39.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  40. 40.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?

Answer key

  1. 128
  2. 2
  3. 318
  4. 66
  5. 384
  6. 126
  7. 78
  8. 380
  9. 16
  10. 330
  11. 122
  12. 62
  13. 10
  14. 582
  15. 100
  16. 62
  17. 4
  18. 312
  19. 160
  20. 112
  21. 294
  22. 256
  23. 231
  24. 52
  25. 216
  26. 140
  27. 768
  28. 104
  29. 8
  30. 7
  31. 14
  32. 91
  33. 2
  34. 180
  35. 207
  36. 144
  37. 4
  38. 63
  39. 96
  40. 11

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