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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 190 · 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 18 cm and 5 cm. What is its area (in square cm)?
  2. 2.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  3. 3.A cuboid is 12 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  4. 4.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  5. 5.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  6. 6.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 30 cm and 15 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 30 square cm. Its parallel sides are 8 cm and 12 cm. What is the distance between them (in cm)?
  10. 10.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  11. 11.The diagonals of a rhombus are 16 cm and 29 cm. What is its area (in square cm)?
  12. 12.A trapezium has an area of 165 square cm. Its parallel sides are 29 cm and 26 cm. What is the distance between them (in cm)?
  13. 13.A cuboid is 7 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  14. 14.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  15. 15.A room is 10 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  16. 16.The diagonals of a rhombus are 30 cm and 4 cm. What is its area (in square cm)?
  17. 17.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has parallel sides of 8 cm and 26 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  19. 19.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  20. 20.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  21. 21.A cuboid is 4 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  22. 22.The diagonals of a rhombus are 4 cm and 4 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 9 cm and 23 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 23 cm and 14 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  26. 26.A trapezium has parallel sides of 21 cm and 27 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  27. 27.A room is 9 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  28. 28.A trapezium has parallel sides of 8 cm and 2 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 30 cm and 28 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  30. 30.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  31. 31.A trapezium has parallel sides of 18 cm and 8 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  32. 32.A cuboid is 5 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  33. 33.The diagonals of a rhombus are 6 cm and 18 cm. What is its area (in square cm)?
  34. 34.A cuboid is 9 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  35. 35.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  36. 36.A trapezium has parallel sides of 5 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 21 cm and 11 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  38. 38.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  39. 39.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.A room is 5 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 45
  2. 1350
  3. 720
  4. 1536
  5. 12
  6. 96
  7. 21
  8. 225
  9. 3
  10. 150
  11. 232
  12. 6
  13. 142
  14. 35
  15. 128
  16. 60
  17. 54
  18. 153
  19. 11
  20. 16
  21. 94
  22. 8
  23. 256
  24. 370
  25. 3
  26. 384
  27. 120
  28. 60
  29. 464
  30. 17
  31. 260
  32. 62
  33. 54
  34. 348
  35. 18
  36. 19
  37. 320
  38. 10
  39. 84
  40. 112

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