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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 294 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  2. 2.A cuboid is 10 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  3. 3.A cuboid is 3 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  4. 4.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 26 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  6. 6.A trapezium has an area of 391 square cm. Its parallel sides are 22 cm and 24 cm. What is the distance between them (in cm)?
  7. 7.A trapezium has parallel sides of 5 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  8. 8.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  9. 9.A trapezium has an area of 46 square cm. Its parallel sides are 8 cm and 15 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 5 cm and 3 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  12. 12.The diagonals of a rhombus are 22 cm and 24 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 28 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  14. 14.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  15. 15.A trapezium has parallel sides of 11 cm and 6 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  16. 16.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  17. 17.A trapezium has an area of 280 square cm. Its parallel sides are 25 cm and 10 cm. What is the distance between them (in cm)?
  18. 18.A trapezium has parallel sides of 19 cm and 23 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  19. 19.A cuboid is 5 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  20. 20.A room is 6 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 parallel sides of 16 cm and 5 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  22. 22.The diagonals of a rhombus are 16 cm and 10 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 15 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  24. 24.A room is 10 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  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 24 cm and 11 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  27. 27.A room is 10 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.A trapezium has an area of 260 square cm. Its parallel sides are 23 cm and 29 cm. What is the distance between them (in cm)?
  29. 29.A room is 3 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.A trapezium has parallel sides of 30 cm and 17 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  31. 31.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  33. 33.The diagonals of a rhombus are 24 cm and 5 cm. What is its area (in square cm)?
  34. 34.The diagonals of a rhombus are 22 cm and 27 cm. What is its area (in square cm)?
  35. 35.A cuboid is 5 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  36. 36.A cuboid is 11 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  37. 37.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.A trapezium has an area of 153 square cm. Its parallel sides are 8 cm and 26 cm. What is the distance between them (in cm)?
  39. 39.The diagonals of a rhombus are 26 cm and 12 cm. What is its area (in square cm)?
  40. 40.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?

Answer key

  1. 19
  2. 190
  3. 206
  4. 96
  5. 235
  6. 17
  7. 19
  8. 1014
  9. 4
  10. 52
  11. 2
  12. 264
  13. 117
  14. 864
  15. 136
  16. 14
  17. 16
  18. 105
  19. 310
  20. 90
  21. 168
  22. 80
  23. 153
  24. 128
  25. 18
  26. 245
  27. 120
  28. 10
  29. 48
  30. 235
  31. 60
  32. 8
  33. 60
  34. 297
  35. 342
  36. 370
  37. 80
  38. 9
  39. 156
  40. 7

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