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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 13 · 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 trapezium has an area of 448 square cm. Its parallel sides are 26 cm and 30 cm. What is the distance between them (in cm)?
  2. 2.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  3. 3.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has an area of 55 square cm. Its parallel sides are 5 cm and 6 cm. What is the distance between them (in cm)?
  5. 5.A cuboid is 3 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  6. 6.A cuboid is 8 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  7. 7.A room is 10 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.A trapezium has an area of 286 square cm. Its parallel sides are 28 cm and 24 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has an area of 105 square cm. Its parallel sides are 16 cm and 19 cm. What is the distance between them (in cm)?
  10. 10.A cuboid is 8 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  11. 11.A trapezium has parallel sides of 27 cm and 8 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  12. 12.A trapezium has parallel sides of 7 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  13. 13.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  14. 14.A cuboid is 9 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 25 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  16. 16.A trapezium has an area of 210 square cm. Its parallel sides are 25 cm and 3 cm. What is the distance between them (in cm)?
  17. 17.A cuboid is 5 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  18. 18.A cuboid is 4 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has an area of 27 square cm. Its parallel sides are 15 cm and 12 cm. What is the distance between them (in cm)?
  21. 21.A cuboid is 5 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  22. 22.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  23. 23.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  24. 24.A trapezium has an area of 100 square cm. Its parallel sides are 7 cm and 3 cm. What is the distance between them (in cm)?
  25. 25.The diagonals of a rhombus are 16 cm and 20 cm. What is its area (in square cm)?
  26. 26.A trapezium has an area of 144 square cm. Its parallel sides are 25 cm and 11 cm. What is the distance between them (in cm)?
  27. 27.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  28. 28.A cuboid is 5 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  29. 29.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  30. 30.A cuboid is 3 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  31. 31.A trapezium has an area of 144 square cm. Its parallel sides are 21 cm and 27 cm. What is the distance between them (in cm)?
  32. 32.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  33. 33.The diagonals of a rhombus are 20 cm and 20 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 8 cm and 10 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  35. 35.The diagonals of a rhombus are 10 cm and 20 cm. What is its area (in square cm)?
  36. 36.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  37. 37.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  38. 38.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  39. 39.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  40. 40.A room is 11 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 16
  2. 2
  3. 4
  4. 10
  5. 312
  6. 92
  7. 190
  8. 11
  9. 6
  10. 592
  11. 210
  12. 170
  13. 18
  14. 190
  15. 360
  16. 15
  17. 262
  18. 306
  19. 6
  20. 2
  21. 220
  22. 20
  23. 11
  24. 20
  25. 160
  26. 8
  27. 24
  28. 184
  29. 5
  30. 142
  31. 6
  32. 10
  33. 200
  34. 117
  35. 100
  36. 1014
  37. 150
  38. 72
  39. 600
  40. 168

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