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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 164 · 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.A trapezium has an area of 63 square cm. Its parallel sides are 4 cm and 3 cm. What is the distance between them (in cm)?
  2. 2.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  3. 3.The diagonals of a rhombus are 26 cm and 10 cm. What is its area (in square cm)?
  4. 4.A trapezium has parallel sides of 30 cm and 27 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  5. 5.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  6. 6.A trapezium has an area of 336 square cm. Its parallel sides are 25 cm and 17 cm. What is the distance between them (in cm)?
  7. 7.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  8. 8.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.A cuboid is 4 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  10. 10.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  11. 11.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has parallel sides of 30 cm and 20 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  13. 13.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  14. 14.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  15. 15.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  16. 16.A trapezium has parallel sides of 16 cm and 9 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  17. 17.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  19. 19.A cuboid is 5 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 23 cm and 22 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 486 square cm. How long is each edge (in cm)?
  22. 22.A trapezium has an area of 92 square cm. Its parallel sides are 18 cm and 5 cm. What is the distance between them (in cm)?
  23. 23.A trapezium has parallel sides of 29 cm and 13 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  24. 24.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  25. 25.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  26. 26.A trapezium has parallel sides of 20 cm and 18 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  27. 27.A cuboid is 13 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  29. 29.A room is 5 m long, 5 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 328 square cm. Its parallel sides are 21 cm and 20 cm. What is the distance between them (in cm)?
  31. 31.A trapezium has parallel sides of 22 cm and 19 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  32. 32.A trapezium has parallel sides of 10 cm and 8 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  33. 33.A cuboid is 7 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has an area of 174 square cm. Its parallel sides are 25 cm and 4 cm. What is the distance between them (in cm)?
  35. 35.A trapezium has parallel sides of 14 cm and 2 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 16 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  37. 37.A trapezium has parallel sides of 9 cm and 22 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  38. 38.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  39. 39.A cuboid is 15 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  40. 40.A cuboid is 3 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?

Answer key

  1. 18
  2. 35
  3. 130
  4. 114
  5. 8
  6. 16
  7. 160
  8. 88
  9. 388
  10. 17
  11. 1734
  12. 450
  13. 3174
  14. 112
  15. 11
  16. 25
  17. 90
  18. 20
  19. 340
  20. 405
  21. 9
  22. 8
  23. 378
  24. 726
  25. 18
  26. 38
  27. 422
  28. 600
  29. 100
  30. 16
  31. 287
  32. 171
  33. 172
  34. 12
  35. 80
  36. 19
  37. 248
  38. 128
  39. 306
  40. 162

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