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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 143 · 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.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  2. 2.A cuboid is 15 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  3. 3.The diagonals of a rhombus are 26 cm and 22 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 11 cm and 8 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 13 cm and 25 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  6. 6.The diagonals of a rhombus are 16 cm and 28 cm. What is its area (in square cm)?
  7. 7.The diagonals of a rhombus are 10 cm and 10 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  9. 9.A cuboid is 4 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  11. 11.A cuboid is 11 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  12. 12.A cuboid is 5 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  13. 13.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  14. 14.A room is 7 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  15. 15.A trapezium has parallel sides of 12 cm and 14 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  16. 16.A cuboid is 5 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  17. 17.A cuboid is 13 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has parallel sides of 15 cm and 11 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  19. 19.A trapezium has an area of 423 square cm. Its parallel sides are 30 cm and 17 cm. What is the distance between them (in cm)?
  20. 20.The diagonals of a rhombus are 10 cm and 9 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 18 cm and 25 cm. What is its area (in square cm)?
  22. 22.A room is 12 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  23. 23.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 27 cm and 17 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  25. 25.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  26. 26.A room is 3 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  28. 28.A trapezium has parallel sides of 10 cm and 2 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  29. 29.A cuboid is 11 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  30. 30.A cuboid is 11 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  31. 31.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.A cuboid is 11 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  33. 33.A cuboid is 9 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  34. 34.The diagonals of a rhombus are 22 cm and 13 cm. What is its area (in square cm)?
  35. 35.A trapezium has an area of 104 square cm. Its parallel sides are 5 cm and 8 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has an area of 195 square cm. Its parallel sides are 11 cm and 15 cm. What is the distance between them (in cm)?
  37. 37.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.The diagonals of a rhombus are 8 cm and 28 cm. What is its area (in square cm)?
  39. 39.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has an area of 88 square cm. Its parallel sides are 7 cm and 15 cm. What is the distance between them (in cm)?

Answer key

  1. 10
  2. 342
  3. 286
  4. 133
  5. 76
  6. 224
  7. 50
  8. 1176
  9. 122
  10. 6
  11. 262
  12. 78
  13. 2
  14. 150
  15. 104
  16. 314
  17. 454
  18. 234
  19. 18
  20. 45
  21. 225
  22. 120
  23. 2646
  24. 440
  25. 66
  26. 56
  27. 18
  28. 42
  29. 430
  30. 478
  31. 112
  32. 480
  33. 332
  34. 143
  35. 16
  36. 15
  37. 84
  38. 112
  39. 80
  40. 8

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