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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 17 · 40 sums
TalentJR

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 total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has parallel sides of 5 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  3. 3.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  4. 4.The diagonals of a rhombus are 6 cm and 17 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  6. 6.The diagonals of a rhombus are 30 cm and 24 cm. What is its area (in square cm)?
  7. 7.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  8. 8.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 24 cm and 20 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
  11. 11.A trapezium has an area of 189 square cm. Its parallel sides are 20 cm and 22 cm. What is the distance between them (in cm)?
  12. 12.A cuboid is 5 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  13. 13.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  14. 14.A cuboid is 14 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  15. 15.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  16. 16.A cuboid is 4 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  17. 17.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  18. 18.A trapezium has parallel sides of 14 cm and 12 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  19. 19.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  20. 20.The diagonals of a rhombus are 20 cm and 24 cm. What is its area (in square cm)?
  21. 21.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  22. 22.A trapezium has an area of 210 square cm. Its parallel sides are 13 cm and 8 cm. What is the distance between them (in cm)?
  23. 23.A trapezium has parallel sides of 26 cm and 11 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  24. 24.A room is 7 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.A trapezium has parallel sides of 10 cm and 17 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  27. 27.A trapezium has parallel sides of 30 cm and 2 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  28. 28.A cuboid is 15 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  29. 29.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  30. 30.A trapezium has parallel sides of 29 cm and 15 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  31. 31.A trapezium has parallel sides of 19 cm and 26 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  32. 32.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  33. 33.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  34. 34.A trapezium has parallel sides of 26 cm and 24 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  35. 35.A cuboid is 9 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  36. 36.A room is 11 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  38. 38.A cuboid is 10 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  39. 39.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.A room is 12 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 12
  2. 30
  3. 216
  4. 51
  5. 486
  6. 360
  7. 8
  8. 150
  9. 286
  10. 72
  11. 9
  12. 314
  13. 96
  14. 448
  15. 108
  16. 112
  17. 4
  18. 234
  19. 2904
  20. 240
  21. 726
  22. 20
  23. 37
  24. 96
  25. 216
  26. 3174
  27. 272
  28. 196
  29. 84
  30. 154
  31. 45
  32. 130
  33. 5
  34. 275
  35. 174
  36. 102
  37. 3
  38. 88
  39. 80
  40. 120

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