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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 91 · 40 sums
TalentJR

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 cuboid is 12 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  2. 2.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  3. 3.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  4. 4.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  5. 5.A trapezium has parallel sides of 14 cm and 3 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  6. 6.A cuboid is 14 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  7. 7.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.A trapezium has parallel sides of 18 cm and 11 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  9. 9.A trapezium has parallel sides of 9 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  10. 10.A trapezium has an area of 81 square cm. Its parallel sides are 7 cm and 20 cm. What is the distance between them (in cm)?
  11. 11.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 55 square cm. Its parallel sides are 7 cm and 3 cm. What is the distance between them (in cm)?
  13. 13.A trapezium has parallel sides of 7 cm and 21 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  14. 14.The diagonals of a rhombus are 4 cm and 20 cm. What is its area (in square cm)?
  15. 15.A room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  16. 16.The diagonals of a rhombus are 30 cm and 14 cm. What is its area (in square cm)?
  17. 17.A trapezium has parallel sides of 22 cm and 15 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  18. 18.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  19. 19.A cuboid is 10 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  20. 20.A cuboid is 4 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has an area of 98 square cm. Its parallel sides are 26 cm and 23 cm. What is the distance between them (in cm)?
  22. 22.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  23. 23.A cuboid is 8 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  25. 25.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  26. 26.A trapezium has an area of 441 square cm. Its parallel sides are 24 cm and 25 cm. What is the distance between them (in cm)?
  27. 27.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  28. 28.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 8 cm and 13 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 221 square cm. Its parallel sides are 8 cm and 26 cm. What is the distance between them (in cm)?
  32. 32.A trapezium has parallel sides of 23 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  33. 33.A trapezium has an area of 37 square cm. Its parallel sides are 7 cm and 30 cm. What is the distance between them (in cm)?
  34. 34.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has parallel sides of 12 cm and 2 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  36. 36.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  37. 37.A room is 3 m long, 10 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 4 cm. What is its total surface area (in square cm)?
  40. 40.A cuboid is 10 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?

Answer key

  1. 256
  2. 54
  3. 11
  4. 14
  5. 34
  6. 328
  7. 102
  8. 232
  9. 162
  10. 6
  11. 1536
  12. 11
  13. 224
  14. 40
  15. 128
  16. 210
  17. 333
  18. 864
  19. 320
  20. 108
  21. 4
  22. 8
  23. 72
  24. 4
  25. 3750
  26. 18
  27. 12
  28. 90
  29. 216
  30. 63
  31. 13
  32. 153
  33. 2
  34. 7
  35. 133
  36. 2904
  37. 130
  38. 18
  39. 96
  40. 294

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