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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 155 · 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.A cuboid is 11 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  2. 2.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
  3. 3.A cuboid is 6 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  4. 4.A cuboid is 15 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  5. 5.A trapezium has parallel sides of 13 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  6. 6.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  7. 7.A cuboid is 13 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  8. 8.A trapezium has parallel sides of 10 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  9. 9.A trapezium has parallel sides of 25 cm and 15 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  10. 10.A room is 8 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  11. 11.A cuboid is 8 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  12. 12.A room is 11 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  13. 13.The diagonals of a rhombus are 26 cm and 28 cm. What is its area (in square cm)?
  14. 14.A cuboid is 8 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 301 square cm. Its parallel sides are 28 cm and 15 cm. What is the distance between them (in cm)?
  16. 16.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  17. 17.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  18. 18.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  19. 19.A cuboid is 15 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  21. 21.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.A cuboid is 6 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  23. 23.A trapezium has parallel sides of 22 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  24. 24.The diagonals of a rhombus are 22 cm and 27 cm. What is its area (in square cm)?
  25. 25.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 30 cm and 7 cm. What is its area (in square cm)?
  27. 27.A room is 4 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  29. 29.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  30. 30.A cuboid is 12 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  31. 31.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  32. 32.A trapezium has parallel sides of 14 cm and 6 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  33. 33.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.A cuboid is 6 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 8 cm and 4 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  36. 36.A room is 9 m long, 7 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 24 square cm. How long is each edge (in cm)?
  38. 38.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 117 square cm. Its parallel sides are 15 cm and 3 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has an area of 344 square cm. Its parallel sides are 24 cm and 19 cm. What is the distance between them (in cm)?

Answer key

  1. 318
  2. 32
  3. 184
  4. 414
  5. 64
  6. 864
  7. 536
  8. 204
  9. 400
  10. 128
  11. 450
  12. 168
  13. 364
  14. 272
  15. 14
  16. 12
  17. 10
  18. 54
  19. 234
  20. 8
  21. 80
  22. 72
  23. 288
  24. 297
  25. 42
  26. 105
  27. 140
  28. 19
  29. 6
  30. 160
  31. 486
  32. 120
  33. 72
  34. 200
  35. 36
  36. 96
  37. 2
  38. 70
  39. 13
  40. 16

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