In Genesis, what was the height-to-width ratio of Noah’s Ark, using its stated dimensions?

The story behind the answer

Using Genesis’s stated dimensions, Noah’s Ark had a height-to-width ratio of 3:5.

Genesis 6:15 gives the ark as 300 cubits long, 50 cubits wide, and 30 cubits high. Comparing height with width produces 30:50, which simplifies to 3:5. This is a mathematical relationship derived from the text, not a separate measurement stated in the Bible.

The dimensions describe a long rectangular vessel. Its length-to-width ratio was 6:1, while its length-to-height ratio was 10:1. These proportions are often discussed in connection with stability, although the Genesis account does not provide a naval engineering analysis or explain how the vessel was tested.

The units also remain approximate in modern terms because the ancient cubit had no single universal length. Ratios are more secure than metre or foot conversions because the same unit appears in all three dimensions. The answer concerns height compared with width, not width compared with height.

Source: Wikipedia · fact-checked Oct. 2026

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