Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 234 · 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 cuboid is 7 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
2. 2.The diagonals of a rhombus are 20 cm and 7 cm. What is its area (in square cm)?
3. 3.A cuboid is 12 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
4. 4.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
5. 5.The diagonals of a rhombus are 14 cm and 16 cm. What is its area (in square cm)?
6. 6.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
7. 7.A trapezium has parallel sides of 6 cm and 5 cm, and the distance between them is 2 cm. What is its area (in square cm)?
8. 8.A trapezium has parallel sides of 28 cm and 2 cm, and the distance between them is 13 cm. What is its area (in square cm)?
9. 9.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
10. 10.The diagonals of a rhombus are 14 cm and 27 cm. What is its area (in square cm)?
11. 11.A trapezium has an area of 150 square cm. Its parallel sides are 7 cm and 23 cm. What is the distance between them (in cm)?
12. 12.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
13. 13.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
14. 14.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
15. 15.A trapezium has an area of 99 square cm. Its parallel sides are 13 cm and 20 cm. What is the distance between them (in cm)?
16. 16.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
17. 17.A cuboid is 6 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
18. 18.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
19. 19.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
20. 20.A cuboid is 4 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
21. 21.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
22. 22.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
23. 23.A trapezium has an area of 126 square cm. Its parallel sides are 13 cm and 8 cm. What is the distance between them (in cm)?
24. 24.The diagonals of a rhombus are 18 cm and 24 cm. What is its area (in square cm)?
25. 25.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
26. 26.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
27. 27.A cuboid is 15 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
28. 28.A trapezium has an area of 53 square cm. Its parallel sides are 29 cm and 24 cm. What is the distance between them (in cm)?
29. 29.A trapezium has parallel sides of 17 cm and 11 cm, and the distance between them is 14 cm. What is its area (in square cm)?
30. 30.A cuboid is 9 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
31. 31.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.A trapezium has parallel sides of 26 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
33. 33.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
34. 34.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
35. 35.A trapezium has an area of 24 square cm. Its parallel sides are 18 cm and 6 cm. What is the distance between them (in cm)?
36. 36.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
37. 37.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.A cuboid is 13 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
39. 39.A trapezium has parallel sides of 15 cm and 16 cm, and the distance between them is 12 cm. What is its area (in square cm)?
40. 40.A trapezium has an area of 112 square cm. Its parallel sides are 14 cm and 2 cm. What is the distance between them (in cm)?

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