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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 73 · 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.The diagonals of a rhombus are 6 cm and 4 cm. What is its area (in square cm)?
  2. 2.The diagonals of a rhombus are 22 cm and 5 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 trapezium has parallel sides of 25 cm and 5 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  5. 5.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  6. 6.A trapezium has parallel sides of 20 cm and 2 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 25 cm and 11 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  9. 9.A trapezium has parallel sides of 7 cm and 24 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 8 cm and 13 cm. What is its area (in square cm)?
  11. 11.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 19 cm and 9 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  13. 13.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  14. 14.The diagonals of a rhombus are 26 cm and 23 cm. What is its area (in square cm)?
  15. 15.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  16. 16.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  17. 17.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  18. 18.A trapezium has parallel sides of 5 cm and 21 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  19. 19.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  20. 20.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 6 cm and 24 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  22. 22.The diagonals of a rhombus are 4 cm and 13 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 14 cm and 24 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  24. 24.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  25. 25.A room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  27. 27.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  28. 28.A cuboid is 7 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  29. 29.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  31. 31.The diagonals of a rhombus are 10 cm and 29 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 23 cm and 7 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  33. 33.A cuboid is 12 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  34. 34.A cuboid is 7 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  35. 35.A cuboid is 5 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  36. 36.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  37. 37.A cuboid is 15 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  38. 38.A cuboid is 15 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  39. 39.A room is 6 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has an area of 128 square cm. Its parallel sides are 29 cm and 3 cm. What is the distance between them (in cm)?

Answer key

  1. 12
  2. 55
  3. 12
  4. 135
  5. 6
  6. 121
  7. 144
  8. 9
  9. 279
  10. 52
  11. 2166
  12. 280
  13. 216
  14. 299
  15. 1176
  16. 4
  17. 24
  18. 91
  19. 486
  20. 54
  21. 270
  22. 26
  23. 304
  24. 2
  25. 150
  26. 96
  27. 14
  28. 154
  29. 112
  30. 15
  31. 145
  32. 165
  33. 552
  34. 136
  35. 126
  36. 17
  37. 450
  38. 650
  39. 90
  40. 8

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