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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 203 · 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 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  3. 3.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
  4. 4.A trapezium has an area of 198 square cm. Its parallel sides are 28 cm and 5 cm. What is the distance between them (in cm)?
  5. 5.The diagonals of a rhombus are 24 cm and 30 cm. What is its area (in square cm)?
  6. 6.A room is 8 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  8. 8.A trapezium has an area of 120 square cm. Its parallel sides are 7 cm and 13 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has parallel sides of 28 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  10. 10.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  12. 12.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 23 cm and 15 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  14. 14.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.A trapezium has an area of 245 square cm. Its parallel sides are 21 cm and 28 cm. What is the distance between them (in cm)?
  16. 16.The diagonals of a rhombus are 10 cm and 20 cm. What is its area (in square cm)?
  17. 17.The diagonals of a rhombus are 30 cm and 7 cm. What is its area (in square cm)?
  18. 18.A cuboid is 11 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 29 cm and 13 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 6 cm and 11 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  22. 22.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
  24. 24.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  26. 26.The diagonals of a rhombus are 26 cm and 29 cm. What is its area (in square cm)?
  27. 27.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.The diagonals of a rhombus are 22 cm and 28 cm. What is its area (in square cm)?
  29. 29.A cuboid is 14 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  30. 30.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  32. 32.A trapezium has parallel sides of 8 cm and 29 cm, and the distance between them is 8 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 4 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  35. 35.A trapezium has parallel sides of 4 cm and 13 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 160 square cm. Its parallel sides are 12 cm and 4 cm. What is the distance between them (in cm)?
  37. 37.A cuboid is 9 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  38. 38.The diagonals of a rhombus are 14 cm and 7 cm. What is its area (in square cm)?
  39. 39.A cuboid is 14 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  40. 40.A room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?

Answer key

  1. 84
  2. 18
  3. 72
  4. 12
  5. 360
  6. 84
  7. 9
  8. 12
  9. 220
  10. 90
  11. 96
  12. 3750
  13. 76
  14. 190
  15. 10
  16. 100
  17. 105
  18. 290
  19. 252
  20. 85
  21. 2646
  22. 54
  23. 58
  24. 140
  25. 14
  26. 377
  27. 80
  28. 308
  29. 520
  30. 110
  31. 5
  32. 148
  33. 216
  34. 112
  35. 51
  36. 20
  37. 176
  38. 49
  39. 700
  40. 150

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