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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 168 · 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 room is 12 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.A room is 12 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  4. 4.A room is 6 m long, 9 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 28 cm and 21 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 304 square cm. Its parallel sides are 28 cm and 10 cm. What is the distance between them (in cm)?
  7. 7.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  8. 8.A trapezium has an area of 147 square cm. Its parallel sides are 25 cm and 24 cm. What is the distance between them (in cm)?
  9. 9.A cuboid is 7 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  11. 11.A cuboid is 15 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 28 cm and 30 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 8 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 16 cm and 16 cm. What is its area (in square cm)?
  15. 15.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has parallel sides of 14 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  17. 17.A trapezium has parallel sides of 9 cm and 26 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 24 cm and 3 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  19. 19.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  20. 20.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  21. 21.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.A trapezium has parallel sides of 11 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  23. 23.A trapezium has an area of 180 square cm. Its parallel sides are 9 cm and 21 cm. What is the distance between them (in cm)?
  24. 24.A trapezium has an area of 54 square cm. Its parallel sides are 16 cm and 11 cm. What is the distance between them (in cm)?
  25. 25.A trapezium has an area of 357 square cm. Its parallel sides are 28 cm and 23 cm. What is the distance between them (in cm)?
  26. 26.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
  27. 27.A cuboid is 7 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 12 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  29. 29.A room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.A room is 10 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.Each edge of a cube is 7 cm. 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.A trapezium has parallel sides of 7 cm and 19 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  35. 35.A trapezium has an area of 114 square cm. Its parallel sides are 27 cm and 11 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has an area of 119 square cm. Its parallel sides are 18 cm and 16 cm. What is the distance between them (in cm)?
  37. 37.A trapezium has an area of 111 square cm. Its parallel sides are 28 cm and 9 cm. What is the distance between them (in cm)?
  38. 38.A trapezium has an area of 170 square cm. Its parallel sides are 7 cm and 10 cm. What is the distance between them (in cm)?
  39. 39.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  40. 40.A room is 8 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?

Answer key

  1. 96
  2. 120
  3. 54
  4. 90
  5. 294
  6. 16
  7. 12
  8. 6
  9. 118
  10. 15
  11. 462
  12. 203
  13. 31
  14. 128
  15. 17
  16. 240
  17. 70
  18. 108
  19. 5
  20. 600
  21. 120
  22. 248
  23. 12
  24. 4
  25. 14
  26. 32
  27. 202
  28. 156
  29. 128
  30. 42
  31. 120
  32. 294
  33. 2
  34. 221
  35. 6
  36. 7
  37. 6
  38. 20
  39. 2904
  40. 110

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