An ancient unit of length called the cubit was equal to six palms, where a palm was the combined width of the four fingers of a hand. suppose an ark similar to the one that noah is said to have built was 450 cubits long, 50 cubits wide, and 20 cubits high. (take 1 palm to be 0.1 m and give your answers to the correct number of significant figures.) estimate the volume of the ark in cubic meters.

Question

Mathematics

Todd Brown

10 May, 11:59

An ancient unit of length called the cubit was equal to six palms, where a palm was the combined width of the four fingers of a hand. suppose an ark similar to the one that noah is said to have built was 450 cubits long, 50 cubits wide, and 20 cubits high. (take 1 palm to be 0.1 m and give your answers to the correct number of significant figures.) estimate the volume of the ark in cubic meters.

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Tamara Morales · Answer 1

Let us solve for the volume by multiplying all the given dimensions:

V = 450 cubits * 50 cubits * 20 cubits

V = 450,000 cubic cubits = 450,000 cubits^3

We know that: 1 cubit = 6 palms and 1 palm = 0.1 m, therefore:

V = (450,000 cubits^3) * (6 palms / cubits) ^3 * (0.1 m / palm) ^3

V = 97,200 m^3