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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 291 · 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.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 8 cm and 10 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 10 cm and 16 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 7 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  6. 6.A trapezium has parallel sides of 23 cm and 24 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  7. 7.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.A trapezium has parallel sides of 15 cm and 28 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  9. 9.A cuboid is 13 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  11. 11.A trapezium has parallel sides of 4 cm and 12 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  12. 12.A cuboid is 8 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has an area of 49 square cm. Its parallel sides are 20 cm and 29 cm. What is the distance between them (in cm)?
  14. 14.A trapezium has parallel sides of 23 cm and 22 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  15. 15.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  16. 16.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  17. 17.The diagonals of a rhombus are 12 cm and 27 cm. What is its area (in square cm)?
  18. 18.A trapezium has an area of 279 square cm. Its parallel sides are 6 cm and 25 cm. What is the distance between them (in cm)?
  19. 19.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.A trapezium has an area of 259 square cm. Its parallel sides are 16 cm and 21 cm. What is the distance between them (in cm)?
  21. 21.A room is 6 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  22. 22.A cuboid is 4 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  23. 23.A trapezium has parallel sides of 9 cm and 30 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  24. 24.A trapezium has an area of 130 square cm. Its parallel sides are 11 cm and 2 cm. What is the distance between them (in cm)?
  25. 25.The diagonals of a rhombus are 30 cm and 14 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 30 cm and 30 cm. What is its area (in square cm)?
  27. 27.The diagonals of a rhombus are 18 cm and 22 cm. What is its area (in square cm)?
  28. 28.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  30. 30.The diagonals of a rhombus are 18 cm and 12 cm. What is its area (in square cm)?
  31. 31.A cuboid is 3 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  32. 32.A cuboid is 15 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  34. 34.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  35. 35.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  36. 36.A trapezium has an area of 280 square cm. Its parallel sides are 21 cm and 14 cm. What is the distance between them (in cm)?
  37. 37.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
  38. 38.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  39. 39.A trapezium has parallel sides of 24 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  40. 40.A trapezium has an area of 430 square cm. Its parallel sides are 16 cm and 27 cm. What is the distance between them (in cm)?

Answer key

  1. 150
  2. 63
  3. 80
  4. 140
  5. 1176
  6. 188
  7. 190
  8. 215
  9. 384
  10. 15
  11. 128
  12. 448
  13. 2
  14. 360
  15. 3
  16. 10
  17. 162
  18. 18
  19. 80
  20. 14
  21. 160
  22. 280
  23. 351
  24. 20
  25. 210
  26. 450
  27. 198
  28. 96
  29. 18
  30. 108
  31. 42
  32. 270
  33. 17
  34. 1350
  35. 2
  36. 16
  37. 60
  38. 14
  39. 217
  40. 20

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