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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 152 · 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 room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.The diagonals of a rhombus are 14 cm and 8 cm. What is its area (in square cm)?
  3. 3.A trapezium has an area of 76 square cm. Its parallel sides are 16 cm and 3 cm. What is the distance between them (in cm)?
  4. 4.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)?
  5. 5.A room is 12 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  6. 6.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 20 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.A cuboid is 3 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has an area of 24 square cm. Its parallel sides are 9 cm and 7 cm. What is the distance between them (in cm)?
  10. 10.A room is 3 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  11. 11.A cuboid is 11 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  12. 12.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  13. 13.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  14. 14.A room is 12 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.A cuboid is 5 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  16. 16.The diagonals of a rhombus are 30 cm and 23 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 203 square cm. Its parallel sides are 4 cm and 25 cm. What is the distance between them (in cm)?
  18. 18.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  19. 19.A trapezium has an area of 315 square cm. Its parallel sides are 15 cm and 20 cm. What is the distance between them (in cm)?
  20. 20.The diagonals of a rhombus are 20 cm and 24 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  22. 22.A cuboid is 13 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  23. 23.A room is 7 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  26. 26.A trapezium has parallel sides of 26 cm and 13 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  27. 27.A cuboid is 9 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  28. 28.A cuboid is 11 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  30. 30.A trapezium has an area of 75 square cm. Its parallel sides are 17 cm and 8 cm. What is the distance between them (in cm)?
  31. 31.A cuboid is 13 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  32. 32.A cuboid is 3 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  33. 33.A trapezium has parallel sides of 19 cm and 27 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
  35. 35.A trapezium has an area of 105 square cm. Its parallel sides are 10 cm and 5 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has an area of 189 square cm. Its parallel sides are 7 cm and 20 cm. What is the distance between them (in cm)?
  37. 37.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  38. 38.A cuboid is 6 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  39. 39.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  40. 40.A cuboid is 13 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?

Answer key

  1. 80
  2. 56
  3. 8
  4. 6
  5. 114
  6. 10
  7. 54
  8. 102
  9. 3
  10. 104
  11. 200
  12. 6
  13. 19
  14. 170
  15. 190
  16. 345
  17. 14
  18. 15
  19. 18
  20. 240
  21. 7
  22. 174
  23. 78
  24. 78
  25. 18
  26. 156
  27. 146
  28. 682
  29. 1734
  30. 6
  31. 454
  32. 164
  33. 115
  34. 32
  35. 14
  36. 14
  37. 3174
  38. 56
  39. 3750
  40. 498

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