Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 295 · 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 3 cm. What is its total surface area (in square cm)?
2. 2.A trapezium has parallel sides of 25 cm and 23 cm, and the distance between them is 8 cm. What is its area (in square cm)?
3. 3.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
4. 4.The diagonals of a rhombus are 26 cm and 15 cm. What is its area (in square cm)?
5. 5.A trapezium has parallel sides of 26 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
6. 6.The diagonals of a rhombus are 6 cm and 4 cm. What is its area (in square cm)?
7. 7.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
8. 8.The diagonals of a rhombus are 14 cm and 22 cm. What is its area (in square cm)?
9. 9.The diagonals of a rhombus are 26 cm and 18 cm. What is its area (in square cm)?
10. 10.A trapezium has parallel sides of 9 cm and 26 cm, and the distance between them is 4 cm. What is its area (in square cm)?
11. 11.A cuboid is 9 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
12. 12.A cuboid is 12 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
13. 13.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
14. 14.A trapezium has an area of 188 square cm. Its parallel sides are 20 cm and 27 cm. What is the distance between them (in cm)?
15. 15.A trapezium has parallel sides of 6 cm and 25 cm, and the distance between them is 2 cm. What is its area (in square cm)?
16. 16.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
17. 17.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?
18. 18.A cuboid is 14 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
19. 19.The diagonals of a rhombus are 18 cm and 29 cm. What is its area (in square cm)?
20. 20.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
21. 21.The diagonals of a rhombus are 8 cm and 6 cm. What is its area (in square cm)?
22. 22.A cuboid is 8 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
23. 23.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
24. 24.A room is 6 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
26. 26.A cuboid is 9 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
27. 27.A trapezium has an area of 62 square cm. Its parallel sides are 24 cm and 7 cm. What is the distance between them (in cm)?
28. 28.A trapezium has parallel sides of 6 cm and 11 cm, and the distance between them is 16 cm. What is its area (in square cm)?
29. 29.A trapezium has parallel sides of 25 cm and 14 cm, and the distance between them is 18 cm. What is its area (in square cm)?
30. 30.A cuboid is 3 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
31. 31.A cuboid is 4 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
32. 32.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
33. 33.A room is 12 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
34. 34.A trapezium has an area of 310 square cm. Its parallel sides are 25 cm and 6 cm. What is the distance between them (in cm)?
35. 35.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
36. 36.A trapezium has an area of 252 square cm. Its parallel sides are 24 cm and 12 cm. What is the distance between them (in cm)?
37. 37.A cuboid is 14 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
38. 38.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
39. 39.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
40. 40.A trapezium has an area of 320 square cm. Its parallel sides are 24 cm and 16 cm. What is the distance between them (in cm)?

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