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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 287 · 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 diagonals of a rhombus are 16 cm and 29 cm. What is its area (in square cm)?
  2. 2.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  3. 3.A cuboid is 8 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  4. 4.A room is 4 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  6. 6.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  7. 7.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  8. 8.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 20 cm and 15 cm. What is its area (in square cm)?
  10. 10.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  11. 11.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  12. 12.The diagonals of a rhombus are 8 cm and 14 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 12 cm and 24 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 11 cm and 27 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  15. 15.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has an area of 45 square cm. Its parallel sides are 4 cm and 5 cm. What is the distance between them (in cm)?
  17. 17.The diagonals of a rhombus are 4 cm and 13 cm. What is its area (in square cm)?
  18. 18.A trapezium has an area of 74 square cm. Its parallel sides are 25 cm and 12 cm. What is the distance between them (in cm)?
  19. 19.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  20. 20.A cuboid is 6 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has parallel sides of 18 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  22. 22.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.The diagonals of a rhombus are 12 cm and 29 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 17 cm and 7 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  25. 25.A cuboid is 5 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  26. 26.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  27. 27.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  28. 28.The diagonals of a rhombus are 16 cm and 3 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 15 cm and 25 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  30. 30.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  31. 31.A trapezium has an area of 88 square cm. Its parallel sides are 15 cm and 7 cm. What is the distance between them (in cm)?
  32. 32.A room is 10 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.A trapezium has parallel sides of 19 cm and 23 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  35. 35.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  36. 36.The diagonals of a rhombus are 30 cm and 8 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 26 cm and 14 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 16 cm and 10 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  39. 39.A cuboid is 8 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  40. 40.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?

Answer key

  1. 232
  2. 1734
  3. 520
  4. 104
  5. 20
  6. 3456
  7. 24
  8. 161
  9. 150
  10. 96
  11. 294
  12. 56
  13. 198
  14. 285
  15. 5
  16. 10
  17. 26
  18. 4
  19. 10
  20. 396
  21. 32
  22. 170
  23. 174
  24. 144
  25. 78
  26. 80
  27. 12
  28. 24
  29. 240
  30. 80
  31. 8
  32. 112
  33. 120
  34. 420
  35. 1014
  36. 120
  37. 380
  38. 195
  39. 232
  40. 3

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