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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 173 · 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 10 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.A trapezium has parallel sides of 13 cm and 6 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  4. 4.A cuboid is 8 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  5. 5.A cuboid is 15 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  6. 6.A room is 7 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.A trapezium has parallel sides of 27 cm and 12 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 10 cm and 11 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 9 square cm. Its parallel sides are 4 cm and 5 cm. What is the distance between them (in cm)?
  11. 11.A room is 7 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  12. 12.A trapezium has an area of 124 square cm. Its parallel sides are 20 cm and 11 cm. What is the distance between them (in cm)?
  13. 13.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  14. 14.A cuboid is 15 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  15. 15.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  17. 17.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
  18. 18.A cuboid is 3 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  19. 19.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 20 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 19 cm and 28 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  22. 22.The diagonals of a rhombus are 30 cm and 7 cm. What is its area (in square cm)?
  23. 23.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.The diagonals of a rhombus are 20 cm and 24 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  26. 26.The diagonals of a rhombus are 14 cm and 16 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  29. 29.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  30. 30.The diagonals of a rhombus are 22 cm and 15 cm. What is its area (in square cm)?
  31. 31.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has an area of 240 square cm. Its parallel sides are 23 cm and 25 cm. What is the distance between them (in cm)?
  33. 33.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.The diagonals of a rhombus are 6 cm and 5 cm. What is its area (in square cm)?
  35. 35.A room is 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has parallel sides of 27 cm and 21 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 95 square cm. Its parallel sides are 4 cm and 15 cm. What is the distance between them (in cm)?
  38. 38.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  39. 39.A trapezium has an area of 80 square cm. Its parallel sides are 17 cm and 3 cm. What is the distance between them (in cm)?
  40. 40.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?

Answer key

  1. 150
  2. 76
  3. 9
  4. 442
  5. 378
  6. 78
  7. 78
  8. 1536
  9. 126
  10. 2
  11. 128
  12. 8
  13. 20
  14. 162
  15. 72
  16. 12
  17. 87
  18. 342
  19. 294
  20. 230
  21. 423
  22. 105
  23. 128
  24. 240
  25. 15
  26. 112
  27. 54
  28. 2646
  29. 7
  30. 165
  31. 84
  32. 10
  33. 104
  34. 15
  35. 114
  36. 144
  37. 10
  38. 14
  39. 8
  40. 13

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