Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 117 · 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 4 cm. What is its total surface area (in square cm)?
2. 2.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
3. 3.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
4. 4.A room is 11 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
5. 5.A cuboid is 4 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
6. 6.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
7. 7.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
8. 8.A trapezium has parallel sides of 14 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
9. 9.The diagonals of a rhombus are 26 cm and 26 cm. What is its area (in square cm)?
10. 10.The diagonals of a rhombus are 24 cm and 3 cm. What is its area (in square cm)?
11. 11.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
12. 12.The diagonals of a rhombus are 18 cm and 16 cm. What is its area (in square cm)?
13. 13.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
14. 14.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
15. 15.A trapezium has parallel sides of 21 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
16. 16.A trapezium has an area of 342 square cm. Its parallel sides are 29 cm and 7 cm. What is the distance between them (in cm)?
17. 17.A room is 8 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
19. 19.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
20. 20.A cuboid is 5 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
21. 21.The diagonals of a rhombus are 26 cm and 21 cm. What is its area (in square cm)?
22. 22.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
23. 23.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
24. 24.A trapezium has parallel sides of 28 cm and 10 cm, and the distance between them is 10 cm. What is its area (in square cm)?
25. 25.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
26. 26.A cuboid is 15 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
27. 27.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
28. 28.A trapezium has an area of 74 square cm. Its parallel sides are 27 cm and 10 cm. What is the distance between them (in cm)?
29. 29.A cuboid is 14 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
30. 30.A trapezium has parallel sides of 16 cm and 11 cm, and the distance between them is 20 cm. What is its area (in square cm)?
31. 31.A cuboid is 3 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
32. 32.A trapezium has an area of 126 square cm. Its parallel sides are 19 cm and 23 cm. What is the distance between them (in cm)?
33. 33.A trapezium has an area of 110 square cm. Its parallel sides are 4 cm and 7 cm. What is the distance between them (in cm)?
34. 34.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
35. 35.A cuboid is 3 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
36. 36.The diagonals of a rhombus are 12 cm and 5 cm. What is its area (in square cm)?
37. 37.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
38. 38.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
39. 39.A trapezium has an area of 102 square cm. Its parallel sides are 10 cm and 24 cm. What is the distance between them (in cm)?
40. 40.A trapezium has an area of 279 square cm. Its parallel sides are 26 cm and 5 cm. What is the distance between them (in cm)?

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