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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 57 · 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 18 cm and 17 cm. What is its area (in square cm)?
  2. 2.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.A trapezium has an area of 196 square cm. Its parallel sides are 19 cm and 9 cm. What is the distance between them (in cm)?
  4. 4.A trapezium has parallel sides of 14 cm and 21 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  6. 6.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has an area of 18 square cm. Its parallel sides are 4 cm and 5 cm. What is the distance between them (in cm)?
  8. 8.A trapezium has an area of 280 square cm. Its parallel sides are 25 cm and 3 cm. What is the distance between them (in cm)?
  9. 9.A trapezium has parallel sides of 8 cm and 21 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  10. 10.A room is 4 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.A trapezium has an area of 108 square cm. Its parallel sides are 15 cm and 21 cm. What is the distance between them (in cm)?
  12. 12.A cuboid is 3 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  13. 13.A trapezium has parallel sides of 6 cm and 8 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  14. 14.A cuboid is 3 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  15. 15.A trapezium has an area of 125 square cm. Its parallel sides are 4 cm and 21 cm. What is the distance between them (in cm)?
  16. 16.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
  17. 17.A cuboid is 13 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  18. 18.A trapezium has an area of 340 square cm. Its parallel sides are 24 cm and 10 cm. What is the distance between them (in cm)?
  19. 19.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  20. 20.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  21. 21.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  22. 22.A room is 4 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.The diagonals of a rhombus are 30 cm and 11 cm. What is its area (in square cm)?
  24. 24.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  25. 25.A trapezium has an area of 96 square cm. Its parallel sides are 22 cm and 10 cm. What is the distance between them (in cm)?
  26. 26.A trapezium has parallel sides of 7 cm and 28 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  27. 27.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.A trapezium has parallel sides of 19 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  29. 29.A room is 6 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  30. 30.A trapezium has an area of 39 square cm. Its parallel sides are 22 cm and 4 cm. What is the distance between them (in cm)?
  31. 31.A trapezium has parallel sides of 12 cm and 25 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 9 cm and 11 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  33. 33.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  34. 34.The diagonals of a rhombus are 12 cm and 19 cm. What is its area (in square cm)?
  35. 35.A trapezium has parallel sides of 18 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 6 cm and 3 cm. What is its area (in square cm)?
  37. 37.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has parallel sides of 24 cm and 22 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  39. 39.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  40. 40.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 153
  2. 64
  3. 14
  4. 35
  5. 600
  6. 150
  7. 4
  8. 20
  9. 232
  10. 140
  11. 6
  12. 182
  13. 14
  14. 62
  15. 10
  16. 24
  17. 206
  18. 20
  19. 16
  20. 5
  21. 9
  22. 120
  23. 165
  24. 18
  25. 6
  26. 70
  27. 170
  28. 58
  29. 140
  30. 3
  31. 333
  32. 150
  33. 2904
  34. 114
  35. 132
  36. 9
  37. 160
  38. 207
  39. 20
  40. 72

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