Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 37 · 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 trapezium has parallel sides of 18 cm and 23 cm, and the distance between them is 14 cm. What is its area (in square cm)?
2. 2.A trapezium has parallel sides of 16 cm and 26 cm, and the distance between them is 18 cm. What is its area (in square cm)?
3. 3.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
4. 4.The diagonals of a rhombus are 12 cm and 7 cm. What is its area (in square cm)?
5. 5.A trapezium has an area of 66 square cm. Its parallel sides are 6 cm and 27 cm. What is the distance between them (in cm)?
6. 6.The diagonals of a rhombus are 26 cm and 30 cm. What is its area (in square cm)?
7. 7.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
8. 8.A cuboid is 10 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
9. 9.A cuboid is 9 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
10. 10.A trapezium has an area of 216 square cm. Its parallel sides are 13 cm and 11 cm. What is the distance between them (in cm)?
11. 11.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
12. 12.A trapezium has parallel sides of 10 cm and 21 cm, and the distance between them is 2 cm. What is its area (in square cm)?
13. 13.A cuboid is 5 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
14. 14.A cuboid is 7 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
15. 15.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
16. 16.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
17. 17.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
18. 18.The diagonals of a rhombus are 14 cm and 28 cm. What is its area (in square cm)?
19. 19.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
20. 20.A trapezium has parallel sides of 14 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
21. 21.A trapezium has an area of 530 square cm. Its parallel sides are 28 cm and 25 cm. What is the distance between them (in cm)?
22. 22.A trapezium has an area of 169 square cm. Its parallel sides are 7 cm and 19 cm. What is the distance between them (in cm)?
23. 23.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
24. 24.A cuboid is 11 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
25. 25.The diagonals of a rhombus are 22 cm and 7 cm. What is its area (in square cm)?
26. 26.A cuboid is 3 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
27. 27.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
28. 28.A cuboid is 6 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
29. 29.A cuboid is 12 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
30. 30.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
31. 31.A trapezium has an area of 152 square cm. Its parallel sides are 20 cm and 18 cm. What is the distance between them (in cm)?
32. 32.A cuboid is 8 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
33. 33.A cuboid is 9 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
34. 34.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
35. 35.A trapezium has an area of 231 square cm. Its parallel sides are 26 cm and 7 cm. What is the distance between them (in cm)?
36. 36.A trapezium has parallel sides of 25 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
37. 37.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.A trapezium has an area of 231 square cm. Its parallel sides are 12 cm and 21 cm. What is the distance between them (in cm)?
39. 39.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
40. 40.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?

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