Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 267 · 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 total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
2. 2.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
3. 3.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
4. 4.A cuboid is 3 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
5. 5.The diagonals of a rhombus are 18 cm and 21 cm. What is its area (in square cm)?
6. 6.The diagonals of a rhombus are 28 cm and 20 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 9 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
8. 8.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
9. 9.A trapezium has parallel sides of 8 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
10. 10.A cuboid is 4 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
11. 11.The diagonals of a rhombus are 28 cm and 19 cm. What is its area (in square cm)?
12. 12.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
13. 13.A room is 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
14. 14.A cuboid is 9 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
15. 15.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.A trapezium has an area of 180 square cm. Its parallel sides are 21 cm and 24 cm. What is the distance between them (in cm)?
17. 17.A trapezium has an area of 68 square cm. Its parallel sides are 11 cm and 23 cm. What is the distance between them (in cm)?
18. 18.A cuboid is 9 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
19. 19.A trapezium has parallel sides of 7 cm and 28 cm, and the distance between them is 12 cm. What is its area (in square cm)?
20. 20.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
21. 21.A trapezium has an area of 154 square cm. Its parallel sides are 30 cm and 14 cm. What is the distance between them (in cm)?
22. 22.A trapezium has an area of 266 square cm. Its parallel sides are 16 cm and 12 cm. What is the distance between them (in cm)?
23. 23.A trapezium has an area of 105 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 12 cm. What is its total surface area (in square cm)?
25. 25.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
26. 26.A trapezium has an area of 351 square cm. Its parallel sides are 26 cm and 13 cm. What is the distance between them (in cm)?
27. 27.A cuboid is 13 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
28. 28.A room is 4 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
29. 29.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
30. 30.A trapezium has an area of 57 square cm. Its parallel sides are 16 cm and 3 cm. What is the distance between them (in cm)?
31. 31.A trapezium has an area of 90 square cm. Its parallel sides are 8 cm and 28 cm. What is the distance between them (in cm)?
32. 32.A trapezium has an area of 192 square cm. Its parallel sides are 19 cm and 13 cm. What is the distance between them (in cm)?
33. 33.A cuboid is 3 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
34. 34.A trapezium has parallel sides of 30 cm and 23 cm, and the distance between them is 4 cm. What is its area (in square cm)?
35. 35.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
36. 36.A cuboid is 10 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
37. 37.A cuboid is 14 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
38. 38.A cuboid is 13 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
39. 39.The diagonals of a rhombus are 12 cm and 10 cm. What is its area (in square cm)?
40. 40.A trapezium has parallel sides of 9 cm and 17 cm, and the distance between them is 10 cm. What is its area (in square cm)?

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