Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 156 · 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 room is 9 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.A trapezium has parallel sides of 28 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
3. 3.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
4. 4.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
5. 5.A trapezium has parallel sides of 24 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?
6. 6.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
7. 7.A cuboid is 11 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
8. 8.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
9. 9.A trapezium has an area of 45 square cm. Its parallel sides are 17 cm and 28 cm. What is the distance between them (in cm)?
10. 10.The diagonals of a rhombus are 26 cm and 13 cm. What is its area (in square cm)?
11. 11.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
12. 12.A cuboid is 7 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
13. 13.A trapezium has parallel sides of 27 cm and 22 cm, and the distance between them is 10 cm. What is its area (in square cm)?
14. 14.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
15. 15.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
16. 16.A trapezium has an area of 180 square cm. Its parallel sides are 6 cm and 30 cm. What is the distance between them (in cm)?
17. 17.A trapezium has parallel sides of 14 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
18. 18.A trapezium has an area of 100 square cm. Its parallel sides are 23 cm and 27 cm. What is the distance between them (in cm)?
19. 19.A cuboid is 14 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
20. 20.The diagonals of a rhombus are 26 cm and 9 cm. What is its area (in square cm)?
21. 21.A room is 10 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
22. 22.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
23. 23.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
24. 24.A trapezium has an area of 87 square cm. Its parallel sides are 21 cm and 8 cm. What is the distance between them (in cm)?
25. 25.A trapezium has an area of 66 square cm. Its parallel sides are 30 cm and 3 cm. What is the distance between them (in cm)?
26. 26.A cuboid is 5 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
27. 27.A cuboid is 13 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
28. 28.A trapezium has an area of 17 square cm. Its parallel sides are 5 cm and 12 cm. What is the distance between them (in cm)?
29. 29.A trapezium has parallel sides of 8 cm and 3 cm, and the distance between them is 4 cm. What is its area (in square cm)?
30. 30.A trapezium has parallel sides of 14 cm and 16 cm, and the distance between them is 11 cm. What is its area (in square cm)?
31. 31.A cuboid is 3 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
32. 32.A cuboid is 14 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
33. 33.The diagonals of a rhombus are 26 cm and 12 cm. What is its area (in square cm)?
34. 34.A trapezium has parallel sides of 13 cm and 11 cm, and the distance between them is 15 cm. What is its area (in square cm)?
35. 35.The diagonals of a rhombus are 26 cm and 4 cm. What is its area (in square cm)?
36. 36.A trapezium has an area of 86 square cm. Its parallel sides are 19 cm and 24 cm. What is the distance between them (in cm)?
37. 37.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
38. 38.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
39. 39.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
40. 40.A cuboid is 3 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?

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