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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 32 · 40 sums
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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 30 cm and 9 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 5 cm and 9 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 6 cm and 3 cm. What is its area (in square cm)?
  4. 4.The diagonals of a rhombus are 4 cm and 4 cm. What is its area (in square cm)?
  5. 5.A room is 11 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  6. 6.A trapezium has an area of 147 square cm. Its parallel sides are 22 cm and 27 cm. What is the distance between them (in cm)?
  7. 7.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  8. 8.A cuboid is 4 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  9. 9.A trapezium has parallel sides of 7 cm and 24 cm, and the distance between them is 8 cm. What is its 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, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  12. 12.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  13. 13.A room is 7 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  14. 14.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  15. 15.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  16. 16.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  17. 17.The diagonals of a rhombus are 26 cm and 13 cm. What is its area (in square cm)?
  18. 18.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.The diagonals of a rhombus are 16 cm and 30 cm. What is its area (in square cm)?
  20. 20.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 24 cm and 13 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 5 cm and 24 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  23. 23.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  24. 24.A trapezium has parallel sides of 18 cm and 4 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 13 cm and 19 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  27. 27.A trapezium has an area of 185 square cm. Its parallel sides are 9 cm and 28 cm. What is the distance between them (in cm)?
  28. 28.The diagonals of a rhombus are 6 cm and 30 cm. What is its area (in square cm)?
  29. 29.A trapezium has an area of 40 square cm. Its parallel sides are 30 cm and 10 cm. What is the distance between them (in cm)?
  30. 30.The diagonals of a rhombus are 8 cm and 17 cm. What is its area (in square cm)?
  31. 31.A trapezium has an area of 198 square cm. Its parallel sides are 9 cm and 24 cm. What is the distance between them (in cm)?
  32. 32.A trapezium has an area of 111 square cm. Its parallel sides are 14 cm and 23 cm. What is the distance between them (in cm)?
  33. 33.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  34. 34.A trapezium has parallel sides of 5 cm and 22 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  35. 35.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  36. 36.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  37. 37.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has an area of 168 square cm. Its parallel sides are 12 cm and 9 cm. What is the distance between them (in cm)?
  39. 39.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  40. 40.The diagonals of a rhombus are 28 cm and 16 cm. What is its area (in square cm)?

Answer key

  1. 135
  2. 77
  3. 9
  4. 8
  5. 168
  6. 6
  7. 15
  8. 232
  9. 124
  10. 6
  11. 302
  12. 4
  13. 96
  14. 486
  15. 11
  16. 3750
  17. 169
  18. 36
  19. 240
  20. 32
  21. 156
  22. 290
  23. 216
  24. 132
  25. 112
  26. 13
  27. 10
  28. 90
  29. 2
  30. 68
  31. 12
  32. 6
  33. 726
  34. 81
  35. 1176
  36. 2
  37. 66
  38. 16
  39. 7
  40. 224

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