Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 58 · 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.The diagonals of a rhombus are 18 cm and 4 cm. What is its area (in square cm)?
2. 2.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
3. 3.A room is 9 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
4. 4.A trapezium has parallel sides of 21 cm and 25 cm, and the distance between them is 14 cm. What is its area (in square cm)?
5. 5.A trapezium has parallel sides of 5 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
6. 6.A trapezium has parallel sides of 27 cm and 18 cm, and the distance between them is 18 cm. What is its area (in square cm)?
7. 7.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has an area of 280 square cm. Its parallel sides are 9 cm and 26 cm. What is the distance between them (in cm)?
9. 9.The diagonals of a rhombus are 24 cm and 27 cm. What is its area (in square cm)?
10. 10.A trapezium has parallel sides of 22 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
11. 11.A cuboid is 5 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
12. 12.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
13. 13.A room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.A trapezium has parallel sides of 15 cm and 3 cm, and the distance between them is 4 cm. What is its area (in square cm)?
15. 15.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
17. 17.A trapezium has parallel sides of 4 cm and 24 cm, and the distance between them is 18 cm. What is its area (in square cm)?
18. 18.A cuboid is 3 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
19. 19.A trapezium has an area of 513 square cm. Its parallel sides are 26 cm and 28 cm. What is the distance between them (in cm)?
20. 20.A cuboid is 9 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
21. 21.The diagonals of a rhombus are 26 cm and 16 cm. What is its area (in square cm)?
22. 22.A trapezium has parallel sides of 8 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
23. 23.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
24. 24.A cuboid is 13 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
25. 25.A trapezium has an area of 342 square cm. Its parallel sides are 9 cm and 27 cm. What is the distance between them (in cm)?
26. 26.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
27. 27.A cuboid is 12 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
28. 28.A trapezium has an area of 188 square cm. Its parallel sides are 28 cm and 19 cm. What is the distance between them (in cm)?
29. 29.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
30. 30.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.The diagonals of a rhombus are 16 cm and 22 cm. What is its area (in square cm)?
32. 32.A room is 12 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
33. 33.The diagonals of a rhombus are 18 cm and 14 cm. What is its area (in square cm)?
34. 34.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
35. 35.A cuboid is 4 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
36. 36.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
37. 37.A cuboid is 13 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
38. 38.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
39. 39.A cuboid is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
40. 40.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?

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