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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 115 · 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.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  2. 2.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  4. 4.The diagonals of a rhombus are 22 cm and 14 cm. What is its area (in square cm)?
  5. 5.A trapezium has an area of 175 square cm. Its parallel sides are 13 cm and 12 cm. What is the distance between them (in cm)?
  6. 6.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  7. 7.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  8. 8.The diagonals of a rhombus are 18 cm and 25 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 26 cm and 19 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 30 cm and 14 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 4 cm and 17 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  12. 12.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  13. 13.A cuboid is 5 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
  14. 14.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  15. 15.The diagonals of a rhombus are 16 cm and 10 cm. What is its area (in square cm)?
  16. 16.A cuboid is 15 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  17. 17.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  18. 18.A trapezium has parallel sides of 4 cm and 26 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  19. 19.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has an area of 30 square cm. Its parallel sides are 4 cm and 11 cm. What is the distance between them (in cm)?
  21. 21.A cuboid is 5 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has parallel sides of 24 cm and 17 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  23. 23.A cuboid is 3 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  25. 25.A cuboid is 5 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  26. 26.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  27. 27.A cuboid is 14 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  28. 28.A cuboid is 3 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  29. 29.A room is 9 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  30. 30.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  31. 31.The diagonals of a rhombus are 16 cm and 22 cm. What is its area (in square cm)?
  32. 32.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  33. 33.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has parallel sides of 30 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  35. 35.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.The diagonals of a rhombus are 18 cm and 30 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 28 square cm. Its parallel sides are 19 cm and 9 cm. What is the distance between them (in cm)?
  38. 38.A trapezium has parallel sides of 17 cm and 9 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  39. 39.A room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.A cuboid is 7 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?

Answer key

  1. 726
  2. 144
  3. 8
  4. 154
  5. 14
  6. 2904
  7. 18
  8. 225
  9. 247
  10. 210
  11. 126
  12. 80
  13. 262
  14. 1014
  15. 80
  16. 606
  17. 3
  18. 60
  19. 160
  20. 4
  21. 290
  22. 246
  23. 224
  24. 12
  25. 158
  26. 150
  27. 120
  28. 136
  29. 108
  30. 1944
  31. 176
  32. 486
  33. 80
  34. 59
  35. 66
  36. 270
  37. 2
  38. 221
  39. 78
  40. 208

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