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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 208 · 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 diagonals of a rhombus are 18 cm and 17 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 29 cm and 2 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 20 cm and 17 cm. What is its area (in square cm)?
  4. 4.The diagonals of a rhombus are 14 cm and 13 cm. What is its area (in square cm)?
  5. 5.The diagonals of a rhombus are 16 cm and 4 cm. What is its area (in square cm)?
  6. 6.The diagonals of a rhombus are 24 cm and 30 cm. What is its area (in square cm)?
  7. 7.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  8. 8.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  9. 9.A room is 7 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.A trapezium has an area of 416 square cm. Its parallel sides are 27 cm and 25 cm. What is the distance between them (in cm)?
  11. 11.A trapezium has parallel sides of 13 cm and 29 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  12. 12.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has parallel sides of 17 cm and 9 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  14. 14.A trapezium has parallel sides of 8 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  15. 15.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  16. 16.The diagonals of a rhombus are 24 cm and 23 cm. What is its area (in square cm)?
  17. 17.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  18. 18.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  19. 19.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has parallel sides of 15 cm and 26 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  22. 22.A trapezium has an area of 217 square cm. Its parallel sides are 5 cm and 26 cm. What is the distance between them (in cm)?
  23. 23.A room is 3 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  24. 24.A cuboid is 3 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  25. 25.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  26. 26.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  27. 27.A trapezium has an area of 160 square cm. Its parallel sides are 10 cm and 22 cm. What is the distance between them (in cm)?
  28. 28.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  29. 29.A cuboid is 4 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
  31. 31.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  32. 32.The diagonals of a rhombus are 14 cm and 28 cm. What is its area (in square cm)?
  33. 33.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
  34. 34.A trapezium has parallel sides of 30 cm and 2 cm, and the distance between them is 10 cm. What is its 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.The diagonals of a rhombus are 28 cm and 28 cm. What is its area (in square cm)?
  37. 37.A cuboid is 14 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  38. 38.The diagonals of a rhombus are 28 cm and 13 cm. What is its area (in square cm)?
  39. 39.A room is 12 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  40. 40.A cuboid is 8 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?

Answer key

  1. 153
  2. 186
  3. 170
  4. 91
  5. 32
  6. 360
  7. 2904
  8. 1014
  9. 160
  10. 16
  11. 336
  12. 20
  13. 169
  14. 31
  15. 294
  16. 276
  17. 19
  18. 384
  19. 11
  20. 369
  21. 16
  22. 14
  23. 110
  24. 62
  25. 3750
  26. 15
  27. 10
  28. 1536
  29. 276
  30. 42
  31. 150
  32. 196
  33. 12
  34. 160
  35. 2
  36. 392
  37. 528
  38. 182
  39. 120
  40. 268

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