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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 178 · 40 sums
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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 4 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.A room is 9 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  3. 3.The diagonals of a rhombus are 6 cm and 19 cm. What is its area (in square cm)?
  4. 4.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has an area of 111 square cm. Its parallel sides are 25 cm and 12 cm. What is the distance between them (in cm)?
  6. 6.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 12 cm and 18 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  8. 8.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  9. 9.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  10. 10.The diagonals of a rhombus are 6 cm and 3 cm. What is its area (in square cm)?
  11. 11.A trapezium has parallel sides of 27 cm and 14 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  12. 12.A cuboid is 10 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 28 cm and 4 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  14. 14.A cuboid is 6 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 141 square cm. Its parallel sides are 21 cm and 26 cm. What is the distance between them (in cm)?
  16. 16.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.A cuboid is 15 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  18. 18.The diagonals of a rhombus are 8 cm and 19 cm. What is its area (in square cm)?
  19. 19.A room is 12 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  21. 21.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  22. 22.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  23. 23.A room is 10 m long, 9 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 4 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 9 cm and 24 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 20 cm and 19 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  28. 28.A trapezium has an area of 225 square cm. Its parallel sides are 14 cm and 11 cm. What is the distance between them (in cm)?
  29. 29.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  30. 30.A room is 7 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.A room is 12 m long, 6 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 1734 square cm. How long is each edge (in cm)?
  33. 33.A trapezium has an area of 169 square cm. Its parallel sides are 23 cm and 3 cm. What is the distance between them (in cm)?
  34. 34.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  35. 35.The diagonals of a rhombus are 6 cm and 11 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  37. 37.The diagonals of a rhombus are 4 cm and 28 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 28 cm and 5 cm. What is its area (in square cm)?
  39. 39.A trapezium has an area of 235 square cm. Its parallel sides are 25 cm and 22 cm. What is the distance between them (in cm)?
  40. 40.The diagonals of a rhombus are 4 cm and 5 cm. What is its area (in square cm)?

Answer key

  1. 90
  2. 96
  3. 57
  4. 60
  5. 6
  6. 7
  7. 30
  8. 11
  9. 216
  10. 9
  11. 410
  12. 256
  13. 208
  14. 360
  15. 6
  16. 80
  17. 798
  18. 76
  19. 220
  20. 1944
  21. 3750
  22. 3456
  23. 152
  24. 90
  25. 231
  26. 234
  27. 384
  28. 18
  29. 6
  30. 150
  31. 144
  32. 17
  33. 13
  34. 2400
  35. 33
  36. 12
  37. 56
  38. 70
  39. 10
  40. 10

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