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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 134 · 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 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  3. 3.A trapezium has parallel sides of 23 cm and 28 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 26 cm and 8 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  5. 5.A trapezium has an area of 312 square cm. Its parallel sides are 23 cm and 16 cm. What is the distance between them (in cm)?
  6. 6.A trapezium has an area of 136 square cm. Its parallel sides are 13 cm and 4 cm. What is the distance between them (in cm)?
  7. 7.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  8. 8.A room is 10 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  9. 9.The diagonals of a rhombus are 30 cm and 27 cm. What is its area (in square cm)?
  10. 10.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  11. 11.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  12. 12.A cuboid is 10 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  13. 13.The diagonals of a rhombus are 14 cm and 14 cm. What is its area (in square cm)?
  14. 14.A cuboid is 8 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  15. 15.A cuboid is 6 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  16. 16.The diagonals of a rhombus are 8 cm and 23 cm. What is its area (in square cm)?
  17. 17.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  18. 18.A trapezium has parallel sides of 8 cm and 14 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  19. 19.A cuboid is 6 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has an area of 156 square cm. Its parallel sides are 28 cm and 24 cm. What is the distance between them (in cm)?
  21. 21.A cuboid is 13 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  22. 22.The diagonals of a rhombus are 20 cm and 23 cm. What is its area (in square cm)?
  23. 23.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  24. 24.A room is 10 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has an area of 240 square cm. Its parallel sides are 16 cm and 24 cm. What is the distance between them (in cm)?
  27. 27.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  28. 28.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  29. 29.A cuboid is 9 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  30. 30.A cuboid is 9 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  31. 31.A trapezium has parallel sides of 23 cm and 25 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  32. 32.A cuboid is 14 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  34. 34.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  35. 35.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  36. 36.The diagonals of a rhombus are 18 cm and 18 cm. What is its area (in square cm)?
  37. 37.A trapezium has an area of 32 square cm. Its parallel sides are 7 cm and 9 cm. What is the distance between them (in cm)?
  38. 38.A room is 8 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  39. 39.A cuboid is 5 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  40. 40.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?

Answer key

  1. 48
  2. 10
  3. 510
  4. 51
  5. 16
  6. 16
  7. 726
  8. 180
  9. 405
  10. 20
  11. 2
  12. 332
  13. 98
  14. 232
  15. 188
  16. 92
  17. 3174
  18. 33
  19. 188
  20. 6
  21. 398
  22. 230
  23. 11
  24. 108
  25. 70
  26. 12
  27. 4
  28. 9
  29. 408
  30. 342
  31. 120
  32. 520
  33. 16
  34. 24
  35. 486
  36. 162
  37. 4
  38. 120
  39. 160
  40. 1014

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