Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 260 · 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 384 square cm. How long is each edge (in cm)?
2. 2.A trapezium has parallel sides of 7 cm and 4 cm, and the distance between them is 14 cm. What is its area (in square cm)?
3. 3.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
4. 4.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
5. 5.A cuboid is 9 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
6. 6.A cuboid is 8 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
7. 7.A trapezium has an area of 210 square cm. Its parallel sides are 5 cm and 30 cm. What is the distance between them (in cm)?
8. 8.A cuboid is 8 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
9. 9.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.A room is 7 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
11. 11.A trapezium has parallel sides of 14 cm and 30 cm, and the distance between them is 20 cm. What is its area (in square cm)?
12. 12.A cuboid is 9 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
13. 13.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
14. 14.A trapezium has parallel sides of 17 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
15. 15.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
16. 16.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
17. 17.The diagonals of a rhombus are 12 cm and 24 cm. What is its area (in square cm)?
18. 18.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
19. 19.A cuboid is 4 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
20. 20.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
21. 21.The diagonals of a rhombus are 30 cm and 4 cm. What is its area (in square cm)?
22. 22.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
24. 24.A trapezium has an area of 328 square cm. Its parallel sides are 30 cm and 11 cm. What is the distance between them (in cm)?
25. 25.A trapezium has parallel sides of 13 cm and 28 cm, and the distance between them is 2 cm. What is its area (in square cm)?
26. 26.A trapezium has parallel sides of 14 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
27. 27.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
28. 28.A trapezium has an area of 187 square cm. Its parallel sides are 4 cm and 30 cm. What is the distance between them (in cm)?
29. 29.A trapezium has an area of 51 square cm. Its parallel sides are 6 cm and 28 cm. What is the distance between them (in cm)?
30. 30.A trapezium has an area of 42 square cm. Its parallel sides are 8 cm and 13 cm. What is the distance between them (in cm)?
31. 31.A cuboid is 5 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
32. 32.The diagonals of a rhombus are 8 cm and 5 cm. What is its area (in square cm)?
33. 33.A trapezium has parallel sides of 19 cm and 24 cm, and the distance between them is 14 cm. What is its area (in square cm)?
34. 34.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
35. 35.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
36. 36.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
37. 37.A room is 12 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
38. 38.A cuboid is 3 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
39. 39.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
40. 40.The diagonals of a rhombus are 18 cm and 27 cm. What is its area (in square cm)?

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