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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 121 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  2. 2.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  3. 3.A cuboid is 13 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  4. 4.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  5. 5.The diagonals of a rhombus are 26 cm and 26 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 285 square cm. Its parallel sides are 20 cm and 18 cm. What is the distance between them (in cm)?
  7. 7.A trapezium has parallel sides of 14 cm and 7 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 24 cm and 4 cm. What is its area (in square cm)?
  9. 9.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  10. 10.A trapezium has parallel sides of 16 cm and 18 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  11. 11.A trapezium has an area of 27 square cm. Its parallel sides are 14 cm and 13 cm. What is the distance between them (in cm)?
  12. 12.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  14. 14.A trapezium has an area of 210 square cm. Its parallel sides are 14 cm and 21 cm. What is the distance between them (in cm)?
  15. 15.A room is 11 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.A cuboid is 10 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  17. 17.A cuboid is 11 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  19. 19.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  20. 20.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  21. 21.A trapezium has an area of 217 square cm. Its parallel sides are 19 cm and 12 cm. What is the distance between them (in cm)?
  22. 22.The diagonals of a rhombus are 16 cm and 30 cm. What is its area (in square cm)?
  23. 23.A trapezium has an area of 42 square cm. Its parallel sides are 7 cm and 14 cm. What is the distance between them (in cm)?
  24. 24.A cuboid is 10 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  25. 25.A trapezium has parallel sides of 4 cm and 6 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  26. 26.A cuboid is 4 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  27. 27.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  30. 30.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  31. 31.The diagonals of a rhombus are 16 cm and 28 cm. What is its area (in square cm)?
  32. 32.A cuboid is 9 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  33. 33.The diagonals of a rhombus are 6 cm and 28 cm. What is its area (in square cm)?
  34. 34.A trapezium has an area of 51 square cm. Its parallel sides are 22 cm and 29 cm. What is the distance between them (in cm)?
  35. 35.A cuboid is 11 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  36. 36.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  37. 37.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  38. 38.A trapezium has an area of 135 square cm. Its parallel sides are 6 cm and 9 cm. What is the distance between them (in cm)?
  39. 39.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  40. 40.A trapezium has parallel sides of 27 cm and 25 cm, and the distance between them is 10 cm. What is its area (in square cm)?

Answer key

  1. 11
  2. 14
  3. 412
  4. 294
  5. 338
  6. 15
  7. 63
  8. 48
  9. 13
  10. 51
  11. 2
  12. 35
  13. 12
  14. 12
  15. 102
  16. 522
  17. 366
  18. 3750
  19. 66
  20. 4
  21. 14
  22. 240
  23. 4
  24. 400
  25. 40
  26. 66
  27. 2166
  28. 24
  29. 864
  30. 7
  31. 224
  32. 398
  33. 84
  34. 2
  35. 514
  36. 6
  37. 54
  38. 18
  39. 5
  40. 260

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