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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 210 · 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, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  2. 2.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  3. 3.A cuboid is 15 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  4. 4.A trapezium has an area of 255 square cm. Its parallel sides are 22 cm and 12 cm. What is the distance between them (in cm)?
  5. 5.A cuboid is 4 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 6 cm and 2 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 26 cm and 15 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 81 square cm. Its parallel sides are 20 cm and 7 cm. What is the distance between them (in cm)?
  9. 9.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  11. 11.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  12. 12.A room is 10 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  14. 14.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has parallel sides of 29 cm and 23 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  17. 17.A cuboid is 10 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  18. 18.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.A trapezium has an area of 58 square cm. Its parallel sides are 22 cm and 7 cm. What is the distance between them (in cm)?
  20. 20.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  21. 21.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.The diagonals of a rhombus are 8 cm and 30 cm. What is its area (in square cm)?
  23. 23.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  24. 24.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  25. 25.The diagonals of a rhombus are 26 cm and 18 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 8 cm and 4 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 4 cm and 14 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  29. 29.A room is 6 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.A trapezium has an area of 460 square cm. Its parallel sides are 17 cm and 29 cm. What is the distance between them (in cm)?
  31. 31.A room is 9 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  33. 33.A cuboid is 3 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  34. 34.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has an area of 13 square cm. Its parallel sides are 10 cm and 3 cm. What is the distance between them (in cm)?
  36. 36.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  37. 37.A room is 3 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has parallel sides of 29 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 222 square cm. Its parallel sides are 15 cm and 22 cm. What is the distance between them (in cm)?
  40. 40.The diagonals of a rhombus are 8 cm and 7 cm. What is its area (in square cm)?

Answer key

  1. 242
  2. 1944
  3. 264
  4. 15
  5. 80
  6. 48
  7. 195
  8. 6
  9. 864
  10. 10
  11. 4
  12. 108
  13. 16
  14. 84
  15. 11
  16. 104
  17. 136
  18. 64
  19. 4
  20. 13
  21. 80
  22. 120
  23. 130
  24. 2400
  25. 234
  26. 42
  27. 126
  28. 3
  29. 120
  30. 20
  31. 128
  32. 2
  33. 144
  34. 5
  35. 2
  36. 1536
  37. 54
  38. 320
  39. 12
  40. 28

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