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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 90 · 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 trapezium has parallel sides of 4 cm and 3 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  2. 2.The diagonals of a rhombus are 18 cm and 26 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
  4. 4.A trapezium has an area of 164 square cm. Its parallel sides are 20 cm and 21 cm. What is the distance between them (in cm)?
  5. 5.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  6. 6.A room is 3 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  8. 8.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  9. 9.A room is 7 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  10. 10.A room is 9 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.A cuboid is 7 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  13. 13.A cuboid is 15 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  14. 14.A trapezium has an area of 420 square cm. Its parallel sides are 26 cm and 16 cm. What is the distance between them (in cm)?
  15. 15.A trapezium has an area of 255 square cm. Its parallel sides are 23 cm and 11 cm. What is the distance between them (in cm)?
  16. 16.A cuboid is 3 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  17. 17.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  18. 18.A cuboid is 5 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  19. 19.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
  20. 20.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  22. 22.The diagonals of a rhombus are 18 cm and 8 cm. What is its area (in square cm)?
  23. 23.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  24. 24.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  25. 25.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  26. 26.A cuboid is 11 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 205 square cm. Its parallel sides are 20 cm and 21 cm. What is the distance between them (in cm)?
  28. 28.The diagonals of a rhombus are 12 cm and 5 cm. What is its area (in square cm)?
  29. 29.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
  30. 30.The diagonals of a rhombus are 26 cm and 6 cm. What is its area (in square cm)?
  31. 31.A room is 11 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.A cuboid is 3 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  34. 34.The diagonals of a rhombus are 16 cm and 8 cm. What is its area (in square cm)?
  35. 35.A cuboid is 3 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  36. 36.A room is 10 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.A room is 7 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has an area of 34 square cm. Its parallel sides are 29 cm and 5 cm. What is the distance between them (in cm)?
  39. 39.A room is 6 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?

Answer key

  1. 14
  2. 234
  3. 60
  4. 8
  5. 1014
  6. 72
  7. 1350
  8. 14
  9. 128
  10. 180
  11. 120
  12. 406
  13. 378
  14. 20
  15. 15
  16. 268
  17. 20
  18. 256
  19. 24
  20. 90
  21. 143
  22. 72
  23. 16
  24. 3
  25. 13
  26. 346
  27. 10
  28. 30
  29. 60
  30. 78
  31. 170
  32. 108
  33. 2
  34. 64
  35. 372
  36. 90
  37. 136
  38. 2
  39. 160
  40. 6

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