Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 192 · 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 10 cm and 17 cm. What is its area (in square cm)?
2. 2.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
3. 3.A trapezium has parallel sides of 6 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
4. 4.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
5. 5.A cuboid is 9 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
6. 6.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.A room is 7 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
8. 8.A trapezium has parallel sides of 25 cm and 4 cm, and the distance between them is 6 cm. What is its area (in square cm)?
9. 9.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
10. 10.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
11. 11.A cuboid is 5 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
12. 12.A trapezium has parallel sides of 25 cm and 23 cm, and the distance between them is 16 cm. What is its area (in square cm)?
13. 13.A cuboid is 4 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
14. 14.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
15. 15.A trapezium has parallel sides of 12 cm and 11 cm, and the distance between them is 8 cm. What is its area (in square cm)?
16. 16.A cuboid is 3 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
17. 17.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
18. 18.A trapezium has an area of 280 square cm. Its parallel sides are 25 cm and 3 cm. What is the distance between them (in cm)?
19. 19.A trapezium has parallel sides of 7 cm and 23 cm, and the distance between them is 5 cm. What is its area (in square cm)?
20. 20.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
21. 21.A trapezium has an area of 51 square cm. Its parallel sides are 21 cm and 30 cm. What is the distance between them (in cm)?
22. 22.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
23. 23.A trapezium has an area of 50 square cm. Its parallel sides are 18 cm and 7 cm. What is the distance between them (in cm)?
24. 24.A cuboid is 7 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
25. 25.A room is 11 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 an area of 126 square cm. Its parallel sides are 6 cm and 15 cm. What is the distance between them (in cm)?
27. 27.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
28. 28.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
29. 29.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
30. 30.A trapezium has parallel sides of 4 cm and 22 cm, and the distance between them is 4 cm. What is its area (in square cm)?
31. 31.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.A cuboid is 13 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has an area of 91 square cm. Its parallel sides are 7 cm and 19 cm. What is the distance between them (in cm)?
34. 34.A trapezium has an area of 126 square cm. Its parallel sides are 5 cm and 9 cm. What is the distance between them (in cm)?
35. 35.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
36. 36.A trapezium has an area of 129 square cm. Its parallel sides are 15 cm and 28 cm. What is the distance between them (in cm)?
37. 37.The diagonals of a rhombus are 10 cm and 10 cm. What is its area (in square cm)?
38. 38.The diagonals of a rhombus are 4 cm and 11 cm. What is its area (in square cm)?
39. 39.A cuboid is 10 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
40. 40.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?

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