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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 144 · 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 diagonals of a rhombus are 24 cm and 8 cm. What is its area (in square cm)?
  2. 2.A cuboid is 13 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  3. 3.The diagonals of a rhombus are 18 cm and 16 cm. What is its area (in square cm)?
  4. 4.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  5. 5.A cuboid is 11 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  6. 6.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 23 cm and 14 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 6 cm and 11 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 96 square cm. Its parallel sides are 7 cm and 25 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 27 cm and 15 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  11. 11.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  12. 12.The diagonals of a rhombus are 24 cm and 7 cm. What is its area (in square cm)?
  13. 13.A trapezium has an area of 44 square cm. Its parallel sides are 13 cm and 9 cm. What is the distance between them (in cm)?
  14. 14.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  16. 16.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.A trapezium has parallel sides of 14 cm and 29 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  18. 18.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 29 cm and 23 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  21. 21.A trapezium has an area of 19 square cm. Its parallel sides are 11 cm and 8 cm. What is the distance between them (in cm)?
  22. 22.A trapezium has parallel sides of 15 cm and 13 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  23. 23.A trapezium has parallel sides of 19 cm and 6 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  24. 24.A cuboid is 4 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  25. 25.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  26. 26.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.A room is 8 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  28. 28.The diagonals of a rhombus are 4 cm and 16 cm. What is its area (in square cm)?
  29. 29.A cuboid is 5 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 12 cm and 4 cm. What is its area (in square cm)?
  31. 31.A cuboid is 12 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  32. 32.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  33. 33.A trapezium has an area of 23 square cm. Its parallel sides are 19 cm and 4 cm. What is the distance between them (in cm)?
  34. 34.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 15 cm and 16 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  36. 36.The diagonals of a rhombus are 30 cm and 18 cm. What is its area (in square cm)?
  37. 37.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  38. 38.A trapezium has an area of 68 square cm. Its parallel sides are 11 cm and 23 cm. What is the distance between them (in cm)?
  39. 39.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
  40. 40.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?

Answer key

  1. 96
  2. 270
  3. 144
  4. 11
  5. 638
  6. 18
  7. 111
  8. 85
  9. 6
  10. 42
  11. 2400
  12. 84
  13. 4
  14. 72
  15. 9
  16. 96
  17. 301
  18. 48
  19. 24
  20. 494
  21. 2
  22. 224
  23. 250
  24. 178
  25. 19
  26. 120
  27. 112
  28. 32
  29. 192
  30. 24
  31. 548
  32. 152
  33. 2
  34. 216
  35. 155
  36. 270
  37. 6
  38. 4
  39. 161
  40. 96

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