Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 326 · 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 88 square cm. Its parallel sides are 5 cm and 6 cm. What is the distance between them (in cm)?
2. 2.A room is 3 m long, 3 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 24 square cm. How long is each edge (in cm)?
4. 4.A cuboid is 12 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
5. 5.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
6. 6.The diagonals of a rhombus are 14 cm and 20 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 4 cm and 7 cm, and the distance between them is 16 cm. What is its area (in square cm)?
8. 8.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
9. 9.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
10. 10.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
11. 11.A trapezium has an area of 180 square cm. Its parallel sides are 29 cm and 16 cm. What is the distance between them (in cm)?
12. 12.A room is 10 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
13. 13.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
14. 14.A trapezium has parallel sides of 7 cm and 21 cm, and the distance between them is 19 cm. What is its area (in square cm)?
15. 15.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
16. 16.A cuboid is 8 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
17. 17.A trapezium has an area of 410 square cm. Its parallel sides are 22 cm and 19 cm. What is the distance between them (in cm)?
18. 18.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
19. 19.The diagonals of a rhombus are 14 cm and 6 cm. What is its area (in square cm)?
20. 20.A trapezium has an area of 100 square cm. Its parallel sides are 23 cm and 2 cm. What is the distance between them (in cm)?
21. 21.A room is 12 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.A trapezium has an area of 217 square cm. Its parallel sides are 17 cm and 14 cm. What is the distance between them (in cm)?
23. 23.The diagonals of a rhombus are 6 cm and 11 cm. What is its area (in square cm)?
24. 24.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
26. 26.A room is 6 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
27. 27.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
28. 28.A cuboid is 7 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
29. 29.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
30. 30.A trapezium has parallel sides of 16 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
31. 31.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
32. 32.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
33. 33.A cuboid is 4 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
34. 34.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
35. 35.A room is 6 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
36. 36.A trapezium has parallel sides of 18 cm and 3 cm, and the distance between them is 14 cm. What is its area (in square cm)?
37. 37.A trapezium has parallel sides of 17 cm and 20 cm, and the distance between them is 4 cm. What is its area (in square cm)?
38. 38.A cuboid is 15 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
39. 39.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
40. 40.A trapezium has parallel sides of 22 cm and 30 cm, and the distance between them is 16 cm. What is its area (in square cm)?

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