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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 259 · 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 16 cm and 3 cm. What is its area (in square cm)?
  2. 2.A cuboid is 7 cm long, 2 cm wide and 7 cm high. What is its total surface 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 an area of 50 square cm. Its parallel sides are 4 cm and 21 cm. What is the distance between them (in cm)?
  5. 5.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  6. 6.A trapezium has an area of 189 square cm. Its parallel sides are 25 cm and 2 cm. What is the distance between them (in cm)?
  7. 7.A trapezium has parallel sides of 11 cm and 21 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  8. 8.A cuboid is 6 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  9. 9.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.A trapezium has an area of 315 square cm. Its parallel sides are 23 cm and 22 cm. What is the distance between them (in cm)?
  11. 11.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  12. 12.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  13. 13.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  14. 14.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  15. 15.The diagonals of a rhombus are 18 cm and 14 cm. What is its area (in square cm)?
  16. 16.The diagonals of a rhombus are 8 cm and 4 cm. What is its area (in square cm)?
  17. 17.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 374 square cm. Its parallel sides are 18 cm and 26 cm. What is the distance between them (in cm)?
  19. 19.A trapezium has parallel sides of 8 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  20. 20.The diagonals of a rhombus are 8 cm and 17 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 10 cm and 18 cm. What is its area (in square cm)?
  22. 22.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  23. 23.A cuboid is 5 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 24 cm and 23 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  25. 25.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  27. 27.A cuboid is 4 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  28. 28.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.The diagonals of a rhombus are 12 cm and 15 cm. What is its area (in square cm)?
  30. 30.A trapezium has parallel sides of 23 cm and 12 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 110 square cm. Its parallel sides are 8 cm and 14 cm. What is the distance between them (in cm)?
  32. 32.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  33. 33.The diagonals of a rhombus are 24 cm and 4 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 17 cm and 27 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  36. 36.A cuboid is 9 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  37. 37.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  38. 38.A cuboid is 8 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 10 cm and 16 cm. What is its area (in square cm)?
  40. 40.A trapezium has an area of 80 square cm. Its parallel sides are 14 cm and 6 cm. What is the distance between them (in cm)?

Answer key

  1. 24
  2. 154
  3. 12
  4. 4
  5. 2166
  6. 14
  7. 48
  8. 108
  9. 150
  10. 14
  11. 13
  12. 1944
  13. 1176
  14. 384
  15. 126
  16. 16
  17. 3174
  18. 17
  19. 105
  20. 68
  21. 90
  22. 14
  23. 202
  24. 470
  25. 143
  26. 20
  27. 192
  28. 108
  29. 90
  30. 210
  31. 10
  32. 5
  33. 48
  34. 27
  35. 374
  36. 228
  37. 216
  38. 314
  39. 80
  40. 8

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