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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 154 · 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 room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.A trapezium has parallel sides of 9 cm and 25 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  4. 4.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.A cuboid is 6 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  6. 6.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  7. 7.A trapezium has parallel sides of 5 cm and 18 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  8. 8.A trapezium has parallel sides of 8 cm and 14 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  9. 9.A trapezium has parallel sides of 26 cm and 20 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  10. 10.A cuboid is 15 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  11. 11.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  12. 12.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  13. 13.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  14. 14.A trapezium has an area of 125 square cm. Its parallel sides are 15 cm and 10 cm. What is the distance between them (in cm)?
  15. 15.The diagonals of a rhombus are 28 cm and 15 cm. What is its area (in square cm)?
  16. 16.A trapezium has parallel sides of 5 cm and 27 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  17. 17.A trapezium has an area of 231 square cm. Its parallel sides are 25 cm and 17 cm. What is the distance between them (in cm)?
  18. 18.A cuboid is 6 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  19. 19.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)?
  20. 20.A cuboid is 3 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  21. 21.A trapezium has an area of 323 square cm. Its parallel sides are 30 cm and 8 cm. What is the distance between them (in cm)?
  22. 22.A cuboid is 3 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  23. 23.A cuboid is 12 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  24. 24.A room is 3 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.A room is 7 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has parallel sides of 6 cm and 16 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  27. 27.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  28. 28.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  29. 29.The diagonals of a rhombus are 14 cm and 28 cm. What is its area (in square cm)?
  30. 30.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  31. 31.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  32. 32.A room is 8 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 255 square cm. Its parallel sides are 4 cm and 30 cm. What is the distance between them (in cm)?
  34. 34.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.A trapezium has an area of 22 square cm. Its parallel sides are 10 cm and 12 cm. What is the distance between them (in cm)?
  36. 36.A trapezium has parallel sides of 29 cm and 7 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 1176 square cm. How long is each edge (in cm)?
  38. 38.A trapezium has parallel sides of 4 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  39. 39.A cuboid is 9 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  40. 40.The diagonals of a rhombus are 26 cm and 23 cm. What is its area (in square cm)?

Answer key

  1. 150
  2. 152
  3. 119
  4. 130
  5. 228
  6. 54
  7. 184
  8. 209
  9. 437
  10. 562
  11. 3
  12. 3750
  13. 140
  14. 10
  15. 210
  16. 144
  17. 11
  18. 192
  19. 10
  20. 102
  21. 17
  22. 102
  23. 222
  24. 54
  25. 150
  26. 143
  27. 17
  28. 3174
  29. 196
  30. 216
  31. 10
  32. 136
  33. 15
  34. 80
  35. 2
  36. 324
  37. 14
  38. 45
  39. 486
  40. 299

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