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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 307 · 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, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.A trapezium has parallel sides of 16 cm and 19 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  3. 3.A trapezium has parallel sides of 24 cm and 26 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  5. 5.A trapezium has an area of 154 square cm. Its parallel sides are 15 cm and 13 cm. What is the distance between them (in cm)?
  6. 6.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 26 cm and 22 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  9. 9.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  10. 10.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  11. 11.The diagonals of a rhombus are 12 cm and 9 cm. What is its area (in square cm)?
  12. 12.The diagonals of a rhombus are 8 cm and 26 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 22 cm and 19 cm. What is its area (in square cm)?
  14. 14.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  15. 15.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has parallel sides of 29 cm and 28 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  17. 17.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  18. 18.A trapezium has an area of 440 square cm. Its parallel sides are 30 cm and 25 cm. What is the distance between them (in cm)?
  19. 19.A trapezium has parallel sides of 20 cm and 28 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  20. 20.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  22. 22.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  24. 24.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  25. 25.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.The diagonals of a rhombus are 20 cm and 10 cm. What is its area (in square cm)?
  28. 28.A trapezium has an area of 324 square cm. Its parallel sides are 9 cm and 27 cm. What is the distance between them (in cm)?
  29. 29.A cuboid is 7 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 11 cm and 6 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  32. 32.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  34. 34.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has parallel sides of 4 cm and 16 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 30 cm and 6 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 8 cm and 20 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has an area of 33 square cm. Its parallel sides are 6 cm and 5 cm. What is the distance between them (in cm)?
  40. 40.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?

Answer key

  1. 64
  2. 140
  3. 50
  4. 294
  5. 11
  6. 600
  7. 480
  8. 2904
  9. 112
  10. 54
  11. 54
  12. 104
  13. 209
  14. 1176
  15. 4
  16. 57
  17. 7
  18. 16
  19. 120
  20. 110
  21. 10
  22. 54
  23. 11
  24. 24
  25. 160
  26. 80
  27. 100
  28. 18
  29. 166
  30. 34
  31. 2166
  32. 384
  33. 19
  34. 9
  35. 120
  36. 54
  37. 266
  38. 2646
  39. 6
  40. 12

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