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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 93 · 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 7 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  2. 2.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  3. 3.The diagonals of a rhombus are 18 cm and 16 cm. What is its area (in square cm)?
  4. 4.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.The diagonals of a rhombus are 26 cm and 12 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 102 square cm. Its parallel sides are 7 cm and 10 cm. What is the distance between them (in cm)?
  7. 7.A cuboid is 8 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  8. 8.A trapezium has an area of 95 square cm. Its parallel sides are 11 cm and 8 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has parallel sides of 6 cm and 3 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  10. 10.The diagonals of a rhombus are 26 cm and 30 cm. What is its area (in square cm)?
  11. 11.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 19 cm and 23 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 18 cm and 4 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 18 cm and 21 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  15. 15.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  16. 16.A trapezium has parallel sides of 9 cm and 30 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  17. 17.A trapezium has parallel sides of 24 cm and 4 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 8 cm and 12 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  19. 19.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
  20. 20.A cuboid is 6 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  21. 21.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  22. 22.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  23. 23.A room is 7 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.A trapezium has parallel sides of 8 cm and 24 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  25. 25.A room is 9 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A room is 6 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.A room is 9 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  28. 28.A trapezium has an area of 240 square cm. Its parallel sides are 7 cm and 17 cm. What is the distance between them (in cm)?
  29. 29.A cuboid is 12 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  30. 30.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  32. 32.A cuboid is 7 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  34. 34.A cuboid is 6 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  35. 35.A room is 6 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.A cuboid is 4 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  37. 37.A trapezium has parallel sides of 5 cm and 13 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 6 cm and 5 cm. What is its area (in square cm)?
  40. 40.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?

Answer key

  1. 286
  2. 9
  3. 144
  4. 42
  5. 156
  6. 12
  7. 152
  8. 10
  9. 45
  10. 390
  11. 384
  12. 147
  13. 198
  14. 351
  15. 150
  16. 351
  17. 224
  18. 140
  19. 87
  20. 88
  21. 10
  22. 4
  23. 136
  24. 256
  25. 144
  26. 96
  27. 136
  28. 20
  29. 494
  30. 90
  31. 11
  32. 318
  33. 17
  34. 188
  35. 140
  36. 238
  37. 81
  38. 1734
  39. 15
  40. 6

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