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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 43 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  2. 2.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  3. 3.A trapezium has an area of 168 square cm. Its parallel sides are 30 cm and 26 cm. What is the distance between them (in cm)?
  4. 4.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  5. 5.A cuboid is 7 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  6. 6.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  8. 8.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  9. 9.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.The diagonals of a rhombus are 14 cm and 18 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  12. 12.A room is 12 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  13. 13.A trapezium has parallel sides of 9 cm and 12 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  14. 14.A trapezium has an area of 185 square cm. Its parallel sides are 9 cm and 28 cm. What is the distance between them (in cm)?
  15. 15.A trapezium has parallel sides of 7 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  16. 16.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  17. 17.A trapezium has parallel sides of 23 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  18. 18.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  19. 19.The diagonals of a rhombus are 30 cm and 20 cm. What is its area (in square cm)?
  20. 20.A room is 10 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  21. 21.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.The diagonals of a rhombus are 8 cm and 16 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 9 cm and 7 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  24. 24.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  25. 25.A trapezium has parallel sides of 24 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 24 cm and 18 cm. What is its area (in square cm)?
  27. 27.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 19 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  29. 29.A cuboid is 8 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  30. 30.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  31. 31.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  33. 33.The diagonals of a rhombus are 16 cm and 3 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 28 cm and 5 cm. What is its area (in square cm)?
  35. 35.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has parallel sides of 9 cm and 8 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 9 cm and 24 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  38. 38.A room is 8 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  40. 40.A cuboid is 14 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?

Answer key

  1. 8
  2. 96
  3. 6
  4. 294
  5. 82
  6. 180
  7. 19
  8. 14
  9. 120
  10. 126
  11. 9
  12. 144
  13. 21
  14. 10
  15. 56
  16. 486
  17. 520
  18. 11
  19. 300
  20. 90
  21. 128
  22. 64
  23. 40
  24. 6
  25. 90
  26. 216
  27. 1536
  28. 270
  29. 160
  30. 726
  31. 72
  32. 3456
  33. 24
  34. 70
  35. 80
  36. 119
  37. 99
  38. 170
  39. 18
  40. 248

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