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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 63 · 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 parallel sides of 19 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  2. 2.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  3. 3.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  4. 4.The diagonals of a rhombus are 16 cm and 9 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 6 cm and 15 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  6. 6.A trapezium has parallel sides of 6 cm and 3 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  7. 7.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  8. 8.A cuboid is 7 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 12 cm and 17 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  10. 10.A cuboid is 14 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  11. 11.A cuboid is 5 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 75 square cm. Its parallel sides are 22 cm and 3 cm. What is the distance between them (in cm)?
  13. 13.A room is 12 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 8 cm and 6 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  16. 16.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  17. 17.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  18. 18.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
  19. 19.A cuboid is 11 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has an area of 424 square cm. Its parallel sides are 23 cm and 30 cm. What is the distance between them (in cm)?
  21. 21.The diagonals of a rhombus are 16 cm and 7 cm. What is its area (in square cm)?
  22. 22.A room is 9 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.The diagonals of a rhombus are 8 cm and 25 cm. What is its area (in square cm)?
  24. 24.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
  25. 25.A cuboid is 5 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  26. 26.A room is 10 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.The diagonals of a rhombus are 30 cm and 11 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  29. 29.A trapezium has parallel sides of 23 cm and 30 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  30. 30.A cuboid is 9 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  31. 31.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  32. 32.A cuboid is 7 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 35 square cm. Its parallel sides are 30 cm and 5 cm. What is the distance between them (in cm)?
  34. 34.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  35. 35.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  36. 36.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  37. 37.The diagonals of a rhombus are 6 cm and 16 cm. What is its area (in square cm)?
  38. 38.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  39. 39.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has an area of 35 square cm. Its parallel sides are 6 cm and 8 cm. What is the distance between them (in cm)?

Answer key

  1. 230
  2. 4
  3. 8
  4. 72
  5. 63
  6. 18
  7. 88
  8. 122
  9. 232
  10. 220
  11. 358
  12. 6
  13. 190
  14. 1176
  15. 21
  16. 2166
  17. 13
  18. 96
  19. 268
  20. 16
  21. 56
  22. 102
  23. 100
  24. 42
  25. 302
  26. 102
  27. 165
  28. 5
  29. 424
  30. 168
  31. 1350
  32. 222
  33. 2
  34. 150
  35. 90
  36. 216
  37. 48
  38. 18
  39. 42
  40. 5

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