Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 223 · 40 sums

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).

1. 1.A trapezium has an area of 243 square cm. Its parallel sides are 18 cm and 9 cm. What is the distance between them (in cm)?
2. 2.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
3. 3.A trapezium has an area of 207 square cm. Its parallel sides are 16 cm and 7 cm. What is the distance between them (in cm)?
4. 4.The diagonals of a rhombus are 6 cm and 21 cm. What is its area (in square cm)?
5. 5.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
6. 6.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
7. 7.The diagonals of a rhombus are 22 cm and 6 cm. What is its area (in square cm)?
8. 8.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
9. 9.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
10. 10.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
11. 11.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
12. 12.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
13. 13.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
14. 14.A trapezium has an area of 310 square cm. Its parallel sides are 17 cm and 14 cm. What is the distance between them (in cm)?
15. 15.A room is 4 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
16. 16.A trapezium has parallel sides of 18 cm and 2 cm, and the distance between them is 19 cm. What is its area (in square cm)?
17. 17.A trapezium has parallel sides of 7 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
18. 18.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
19. 19.A trapezium has an area of 390 square cm. Its parallel sides are 26 cm and 13 cm. What is the distance between them (in cm)?
20. 20.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
21. 21.A trapezium has an area of 130 square cm. Its parallel sides are 5 cm and 8 cm. What is the distance between them (in cm)?
22. 22.A room is 6 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.A cuboid is 11 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
24. 24.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
25. 25.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
26. 26.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
27. 27.A cuboid is 5 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
28. 28.The diagonals of a rhombus are 26 cm and 6 cm. What is its area (in square cm)?
29. 29.A cuboid is 6 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
30. 30.A cuboid is 15 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
31. 31.The diagonals of a rhombus are 12 cm and 21 cm. What is its area (in square cm)?
32. 32.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
33. 33.A cuboid is 9 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
34. 34.A trapezium has an area of 100 square cm. Its parallel sides are 26 cm and 14 cm. What is the distance between them (in cm)?
35. 35.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
36. 36.A trapezium has parallel sides of 11 cm and 30 cm, and the distance between them is 10 cm. What is its area (in square cm)?
37. 37.A room is 12 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
39. 39.A cuboid is 5 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
40. 40.The diagonals of a rhombus are 8 cm and 29 cm. What is its area (in square cm)?

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