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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 48 · 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 10 cm and 26 cm. What is its area (in square cm)?
  2. 2.A trapezium has an area of 132 square cm. Its parallel sides are 9 cm and 24 cm. What is the distance between them (in cm)?
  3. 3.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  4. 4.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 21 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  6. 6.The diagonals of a rhombus are 6 cm and 21 cm. What is its area (in square cm)?
  7. 7.A trapezium has parallel sides of 26 cm and 22 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 22 cm and 16 cm. What is its area (in square cm)?
  9. 9.A room is 5 m long, 8 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 228 square cm. Its parallel sides are 20 cm and 4 cm. What is the distance between them (in cm)?
  11. 11.The diagonals of a rhombus are 14 cm and 27 cm. What is its area (in square cm)?
  12. 12.A trapezium has an area of 198 square cm. Its parallel sides are 24 cm and 9 cm. What is the distance between them (in cm)?
  13. 13.The diagonals of a rhombus are 18 cm and 15 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 9 cm and 18 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  15. 15.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  17. 17.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has an area of 351 square cm. Its parallel sides are 21 cm and 18 cm. What is the distance between them (in cm)?
  19. 19.The diagonals of a rhombus are 14 cm and 11 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 9 cm and 11 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  21. 21.A cuboid is 10 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has an area of 72 square cm. Its parallel sides are 19 cm and 5 cm. What is the distance between them (in cm)?
  23. 23.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 8 cm and 16 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  25. 25.The diagonals of a rhombus are 14 cm and 25 cm. What is its area (in square cm)?
  26. 26.A cuboid is 13 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 15 cm and 26 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  28. 28.A trapezium has parallel sides of 18 cm and 10 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  29. 29.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  31. 31.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  32. 32.A room is 6 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  34. 34.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 7 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  36. 36.A cuboid is 10 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  37. 37.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  38. 38.The diagonals of a rhombus are 22 cm and 19 cm. What is its area (in square cm)?
  39. 39.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  40. 40.A cuboid is 7 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?

Answer key

  1. 130
  2. 8
  3. 17
  4. 150
  5. 31
  6. 63
  7. 336
  8. 176
  9. 130
  10. 19
  11. 189
  12. 12
  13. 135
  14. 189
  15. 44
  16. 8
  17. 104
  18. 18
  19. 77
  20. 120
  21. 232
  22. 6
  23. 216
  24. 168
  25. 175
  26. 412
  27. 287
  28. 238
  29. 100
  30. 1176
  31. 1350
  32. 72
  33. 9
  34. 3750
  35. 189
  36. 448
  37. 7
  38. 209
  39. 2904
  40. 334

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