Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 196 · 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.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
2. 2.The diagonals of a rhombus are 18 cm and 27 cm. What is its area (in square cm)?
3. 3.A trapezium has an area of 123 square cm. Its parallel sides are 29 cm and 12 cm. What is the distance between them (in cm)?
4. 4.A trapezium has parallel sides of 5 cm and 21 cm, and the distance between them is 17 cm. What is its area (in square cm)?
5. 5.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
6. 6.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
7. 7.A trapezium has an area of 234 square cm. Its parallel sides are 10 cm and 29 cm. What is the distance between them (in cm)?
8. 8.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
9. 9.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
10. 10.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
11. 11.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
12. 12.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
13. 13.A trapezium has an area of 99 square cm. Its parallel sides are 7 cm and 4 cm. What is the distance between them (in cm)?
14. 14.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
15. 15.A trapezium has an area of 344 square cm. Its parallel sides are 29 cm and 14 cm. What is the distance between them (in 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 8 cm and 6 cm. What is its area (in square cm)?
18. 18.A cuboid is 13 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
19. 19.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
20. 20.A cuboid is 15 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
21. 21.A room is 12 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
22. 22.The diagonals of a rhombus are 8 cm and 25 cm. What is its area (in square cm)?
23. 23.A cuboid is 6 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
24. 24.A cuboid is 10 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
25. 25.A cuboid is 8 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
26. 26.A cuboid is 9 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
27. 27.A room is 4 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
28. 28.A cuboid is 10 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
29. 29.A cuboid is 15 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
30. 30.A trapezium has an area of 208 square cm. Its parallel sides are 21 cm and 5 cm. What is the distance between them (in cm)?
31. 31.A cuboid is 11 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
32. 32.A cuboid is 4 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
33. 33.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
34. 34.A trapezium has parallel sides of 13 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
35. 35.A trapezium has parallel sides of 22 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
36. 36.The diagonals of a rhombus are 12 cm and 17 cm. What is its area (in square cm)?
37. 37.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
38. 38.A trapezium has an area of 294 square cm. Its parallel sides are 17 cm and 25 cm. What is the distance between them (in cm)?
39. 39.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
40. 40.A cuboid is 8 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?

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