Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 109 · 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.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
2. 2.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
3. 3.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
4. 4.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
5. 5.A trapezium has an area of 192 square cm. Its parallel sides are 10 cm and 22 cm. What is the distance between them (in cm)?
6. 6.A trapezium has parallel sides of 25 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
7. 7.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
9. 9.A trapezium has parallel sides of 22 cm and 10 cm, and the distance between them is 5 cm. What is its area (in square cm)?
10. 10.A trapezium has an area of 82 square cm. Its parallel sides are 25 cm and 16 cm. What is the distance between them (in cm)?
11. 11.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.A room is 8 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
13. 13.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
14. 14.A trapezium has parallel sides of 12 cm and 10 cm, and the distance between them is 9 cm. What is its area (in square cm)?
15. 15.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
16. 16.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
17. 17.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
18. 18.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
19. 19.A cuboid is 6 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
20. 20.A cuboid is 13 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
21. 21.A cuboid is 10 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
22. 22.A room is 10 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.A trapezium has an area of 30 square cm. Its parallel sides are 7 cm and 8 cm. What is the distance between them (in cm)?
24. 24.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
25. 25.A room is 12 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
26. 26.A trapezium has an area of 260 square cm. Its parallel sides are 25 cm and 15 cm. What is the distance between them (in cm)?
27. 27.A trapezium has parallel sides of 5 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
28. 28.A cuboid is 4 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
29. 29.A trapezium has an area of 210 square cm. Its parallel sides are 11 cm and 24 cm. What is the distance between them (in cm)?
30. 30.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
31. 31.A trapezium has parallel sides of 23 cm and 8 cm, and the distance between them is 20 cm. What is its area (in square cm)?
32. 32.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
33. 33.A trapezium has an area of 119 square cm. Its parallel sides are 5 cm and 9 cm. What is the distance between them (in cm)?
34. 34.A trapezium has parallel sides of 17 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
35. 35.A trapezium has parallel sides of 25 cm and 26 cm, and the distance between them is 14 cm. What is its area (in square cm)?
36. 36.The diagonals of a rhombus are 16 cm and 9 cm. What is its area (in square cm)?
37. 37.A cuboid is 14 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
38. 38.The diagonals of a rhombus are 18 cm and 11 cm. What is its area (in square cm)?
39. 39.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
40. 40.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?

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