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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 47 · 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 trapezium has parallel sides of 19 cm and 24 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  2. 2.The diagonals of a rhombus are 30 cm and 26 cm. What is its area (in square cm)?
  3. 3.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  4. 4.A cuboid is 15 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  5. 5.The diagonals of a rhombus are 8 cm and 29 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 24 cm and 13 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 14 cm and 3 cm. What is its area (in square cm)?
  8. 8.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  9. 9.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  10. 10.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  11. 11.A cuboid is 6 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  12. 12.A cuboid is 3 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has an area of 171 square cm. Its parallel sides are 14 cm and 5 cm. What is the distance between them (in cm)?
  14. 14.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  15. 15.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  16. 16.A cuboid is 8 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  17. 17.A cuboid is 7 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  18. 18.A cuboid is 12 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  19. 19.A cuboid is 10 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  20. 20.The diagonals of a rhombus are 20 cm and 8 cm. What is its area (in square cm)?
  21. 21.A cuboid is 11 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has parallel sides of 17 cm and 8 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  23. 23.A cuboid is 3 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.A room is 6 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  26. 26.The diagonals of a rhombus are 20 cm and 24 cm. What is its area (in square cm)?
  27. 27.A cuboid is 13 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has an area of 189 square cm. Its parallel sides are 23 cm and 4 cm. What is the distance between them (in cm)?
  29. 29.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  30. 30.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  31. 31.A room is 4 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.The diagonals of a rhombus are 18 cm and 21 cm. What is its area (in square cm)?
  33. 33.A room is 10 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.A cuboid is 12 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has an area of 176 square cm. Its parallel sides are 5 cm and 27 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has parallel sides of 29 cm and 30 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
  38. 38.A trapezium has an area of 54 square cm. Its parallel sides are 19 cm and 8 cm. What is the distance between them (in cm)?
  39. 39.A room is 10 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has parallel sides of 29 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?

Answer key

  1. 344
  2. 390
  3. 12
  4. 310
  5. 116
  6. 259
  7. 21
  8. 80
  9. 1350
  10. 1536
  11. 88
  12. 158
  13. 18
  14. 6
  15. 9
  16. 448
  17. 318
  18. 448
  19. 310
  20. 80
  21. 238
  22. 25
  23. 52
  24. 120
  25. 84
  26. 240
  27. 142
  28. 14
  29. 11
  30. 18
  31. 88
  32. 189
  33. 120
  34. 160
  35. 11
  36. 531
  37. 161
  38. 4
  39. 200
  40. 31

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