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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 306 · 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.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  2. 2.A trapezium has an area of 25 square cm. Its parallel sides are 7 cm and 18 cm. What is the distance between them (in cm)?
  3. 3.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  4. 4.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  5. 5.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  6. 6.A room is 3 m long, 3 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 7 cm. What is its total surface area (in square cm)?
  8. 8.A trapezium has parallel sides of 6 cm and 7 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  9. 9.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  11. 11.The diagonals of a rhombus are 24 cm and 3 cm. What is its area (in square cm)?
  12. 12.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has an area of 400 square cm. Its parallel sides are 28 cm and 22 cm. What is the distance between them (in cm)?
  14. 14.A cuboid is 14 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  15. 15.The diagonals of a rhombus are 10 cm and 10 cm. What is its area (in square cm)?
  16. 16.A cuboid is 10 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  17. 17.A room is 4 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A trapezium has an area of 110 square cm. Its parallel sides are 29 cm and 26 cm. What is the distance between them (in cm)?
  19. 19.The diagonals of a rhombus are 6 cm and 5 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 29 cm and 27 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  22. 22.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has parallel sides of 8 cm and 21 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 42 square cm. Its parallel sides are 15 cm and 13 cm. What is the distance between them (in cm)?
  25. 25.The diagonals of a rhombus are 20 cm and 19 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 12 cm and 4 cm. What is its area (in square cm)?
  27. 27.A cuboid is 11 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
  28. 28.A room is 12 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 12 cm and 22 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 72 square cm. Its parallel sides are 8 cm and 4 cm. What is the distance between them (in cm)?
  32. 32.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  33. 33.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.A cuboid is 6 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
  35. 35.The diagonals of a rhombus are 12 cm and 12 cm. What is its area (in square cm)?
  36. 36.A trapezium has an area of 340 square cm. Its parallel sides are 9 cm and 25 cm. What is the distance between them (in cm)?
  37. 37.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  39. 39.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  40. 40.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?

Answer key

  1. 486
  2. 2
  3. 150
  4. 1350
  5. 1176
  6. 48
  7. 294
  8. 130
  9. 102
  10. 2646
  11. 36
  12. 8
  13. 16
  14. 482
  15. 50
  16. 480
  17. 80
  18. 4
  19. 15
  20. 532
  21. 20
  22. 15
  23. 261
  24. 3
  25. 190
  26. 24
  27. 442
  28. 200
  29. 3174
  30. 132
  31. 12
  32. 42
  33. 72
  34. 324
  35. 72
  36. 20
  37. 100
  38. 18
  39. 24
  40. 9

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