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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 237 · 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.A cuboid is 15 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 5 cm and 4 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  3. 3.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.The diagonals of a rhombus are 30 cm and 8 cm. What is its area (in square cm)?
  5. 5.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  6. 6.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.A trapezium has parallel sides of 28 cm and 6 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  8. 8.A trapezium has an area of 18 square cm. Its parallel sides are 12 cm and 6 cm. What is the distance between them (in cm)?
  9. 9.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  10. 10.A trapezium has an area of 64 square cm. Its parallel sides are 5 cm and 27 cm. What is the distance between them (in cm)?
  11. 11.A trapezium has an area of 217 square cm. Its parallel sides are 10 cm and 21 cm. What is the distance between them (in cm)?
  12. 12.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  14. 14.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  15. 15.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  16. 16.A trapezium has an area of 72 square cm. Its parallel sides are 15 cm and 9 cm. What is the distance between them (in cm)?
  17. 17.A room is 12 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A cuboid is 13 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  19. 19.The diagonals of a rhombus are 8 cm and 6 cm. What is its area (in square cm)?
  20. 20.A trapezium has parallel sides of 16 cm and 17 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 18 cm and 6 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  22. 22.The diagonals of a rhombus are 8 cm and 21 cm. What is its area (in square cm)?
  23. 23.A trapezium has an area of 405 square cm. Its parallel sides are 22 cm and 23 cm. What is the distance between them (in cm)?
  24. 24.A cuboid is 10 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  25. 25.The diagonals of a rhombus are 22 cm and 16 cm. What is its area (in square cm)?
  26. 26.A trapezium has an area of 270 square cm. Its parallel sides are 28 cm and 17 cm. What is the distance between them (in cm)?
  27. 27.A trapezium has parallel sides of 22 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  28. 28.A cuboid is 12 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  29. 29.A trapezium has an area of 165 square cm. Its parallel sides are 20 cm and 13 cm. What is the distance between them (in cm)?
  30. 30.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  31. 31.A trapezium has parallel sides of 16 cm and 14 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  32. 32.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 84 square cm. Its parallel sides are 27 cm and 29 cm. What is the distance between them (in cm)?
  34. 34.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has parallel sides of 4 cm and 21 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 4 cm and 20 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  37. 37.A cuboid is 9 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  38. 38.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has an area of 161 square cm. Its parallel sides are 20 cm and 3 cm. What is the distance between them (in cm)?
  40. 40.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?

Answer key

  1. 162
  2. 36
  3. 152
  4. 120
  5. 6
  6. 110
  7. 51
  8. 2
  9. 15
  10. 4
  11. 14
  12. 48
  13. 8
  14. 294
  15. 3174
  16. 6
  17. 120
  18. 206
  19. 24
  20. 198
  21. 156
  22. 84
  23. 18
  24. 232
  25. 176
  26. 12
  27. 86
  28. 160
  29. 10
  30. 14
  31. 45
  32. 600
  33. 3
  34. 13
  35. 250
  36. 24
  37. 342
  38. 96
  39. 14
  40. 20

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