If the areas of the adjacent faces of a rectangular block are in the ratio 2:3:4 and its volume is `9000\ c m^3,` then the length of the shortest edge is (a) 30 cm (b) 20 cm (c) 15 cm (d) 10 cm

Explanation

To solve the problem, we need to find the length of the shortest edge of a rectangular block given the areas of its adjacent faces are in the ratio 2:3:4 and its volume is 9000 cm³.

### Step-by-Step Solution:

1. **Let the edges of the rectangular block be A, B, and C**:
- We assume \( A < B < C \).

2. **Set up the ratios of the areas of the adjacent faces**:
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