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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 217 · 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.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  2. 2.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  3. 3.A cuboid is 13 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  4. 4.A trapezium has parallel sides of 11 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 12 cm and 23 cm. What is its area (in square cm)?
  7. 7.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  8. 8.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  9. 9.A cuboid is 3 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has parallel sides of 15 cm and 28 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  12. 12.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  13. 13.The diagonals of a rhombus are 28 cm and 9 cm. What is its area (in square cm)?
  14. 14.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has parallel sides of 6 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  17. 17.A cuboid is 8 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has parallel sides of 30 cm and 13 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  19. 19.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  21. 21.A trapezium has an area of 33 square cm. Its parallel sides are 18 cm and 4 cm. What is the distance between them (in cm)?
  22. 22.A cuboid is 13 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  23. 23.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  24. 24.A cuboid is 5 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
  25. 25.The diagonals of a rhombus are 16 cm and 7 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 16 cm and 5 cm. What is its area (in square cm)?
  27. 27.The diagonals of a rhombus are 28 cm and 22 cm. What is its area (in square cm)?
  28. 28.A cuboid is 7 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 119 square cm. Its parallel sides are 4 cm and 13 cm. What is the distance between them (in cm)?
  30. 30.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 4 cm and 10 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  32. 32.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.A trapezium has parallel sides of 15 cm and 30 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  34. 34.A cuboid is 6 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  35. 35.A room is 5 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  37. 37.The diagonals of a rhombus are 16 cm and 27 cm. What is its area (in square cm)?
  38. 38.A trapezium has an area of 56 square cm. Its parallel sides are 6 cm and 10 cm. What is the distance between them (in cm)?
  39. 39.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  40. 40.A trapezium has an area of 248 square cm. Its parallel sides are 4 cm and 27 cm. What is the distance between them (in cm)?

Answer key

  1. 294
  2. 17
  3. 310
  4. 50
  5. 1176
  6. 138
  7. 864
  8. 3174
  9. 222
  10. 5
  11. 43
  12. 2904
  13. 126
  14. 70
  15. 15
  16. 99
  17. 512
  18. 344
  19. 90
  20. 6
  21. 3
  22. 536
  23. 10
  24. 290
  25. 56
  26. 40
  27. 308
  28. 412
  29. 14
  30. 726
  31. 98
  32. 64
  33. 450
  34. 336
  35. 140
  36. 9
  37. 216
  38. 7
  39. 1014
  40. 16

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