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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 248 · 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 total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  2. 2.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  3. 3.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  4. 4.The diagonals of a rhombus are 14 cm and 17 cm. What is its area (in square cm)?
  5. 5.A trapezium has an area of 195 square cm. Its parallel sides are 24 cm and 15 cm. What is the distance between them (in cm)?
  6. 6.A trapezium has parallel sides of 5 cm and 23 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  7. 7.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.A room is 4 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  9. 9.A trapezium has parallel sides of 26 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  12. 12.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  13. 13.A room is 7 m long, 8 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 7 cm. What is its total surface area (in square cm)?
  15. 15.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  16. 16.A cuboid is 14 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  17. 17.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  18. 18.A cuboid is 13 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 12 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  20. 20.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.A trapezium has an area of 161 square cm. Its parallel sides are 28 cm and 18 cm. What is the distance between them (in cm)?
  22. 22.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.A cuboid is 4 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  24. 24.A trapezium has an area of 114 square cm. Its parallel sides are 8 cm and 30 cm. What is the distance between them (in cm)?
  25. 25.A cuboid is 10 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  26. 26.The diagonals of a rhombus are 12 cm and 9 cm. What is its area (in square cm)?
  27. 27.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  30. 30.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  32. 32.A cuboid is 14 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  33. 33.A cuboid is 15 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  34. 34.A trapezium has an area of 221 square cm. Its parallel sides are 5 cm and 21 cm. What is the distance between them (in cm)?
  35. 35.A trapezium has an area of 170 square cm. Its parallel sides are 7 cm and 10 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has parallel sides of 16 cm and 8 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  37. 37.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  38. 38.The diagonals of a rhombus are 24 cm and 7 cm. What is its area (in square cm)?
  39. 39.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  40. 40.The diagonals of a rhombus are 22 cm and 19 cm. What is its area (in square cm)?

Answer key

  1. 16
  2. 13
  3. 2
  4. 119
  5. 10
  6. 70
  7. 72
  8. 100
  9. 86
  10. 120
  11. 1350
  12. 5
  13. 120
  14. 294
  15. 100
  16. 328
  17. 80
  18. 202
  19. 135
  20. 60
  21. 7
  22. 90
  23. 160
  24. 6
  25. 340
  26. 54
  27. 160
  28. 72
  29. 24
  30. 48
  31. 19
  32. 576
  33. 386
  34. 17
  35. 20
  36. 216
  37. 8
  38. 84
  39. 216
  40. 209

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