The cubit is an ancient unit. Its length equals six palms. (A palm varies from 2

Question

The cubit is an ancient unit. Its length equals six palms. (A palm varies from 2.5 to 3.5 inches depending on the individual.) We are told Noah's ark was 300 cubits long, 50 cubits wide, and 30 cubits high. Estimate the volume of the ark (in cubic feet). Assume the ark has a shoe-box shape and that 1 palm = 3.50 inch.

To appreciate the answer above, estimate the volume of a typical house. Assume a shoe-box shape, 52.0 feet long, 34.0 feet wide and 12.0 feet high. Calculate the ratio of the volume of the ark to that of the house.

Explanation / Answer

A)
L = 300 cubits
= 300*6 palms
=1800 palms
= 1800*3.50
= 6300 in
=6300/12 ft
= 525 ft

W = 50 cubits
= 50*6 palms
=300 palms
= 300*3.50
= 1050 in
=1050/12 ft
= 87.5 ft

H = 30 cubits
= 30*6 palms
=180 palms
= 180*3.50
= 630 in
=630/12 ft
= 52.5 ft

Volume = L*W*H
= 525*87.5*52.5
=2411719 ft^3
Answer: volume of the ark = 2411719 ft^3
--------------------------------------
B)
Volume of house = 52*34*12
= 21216 ft^3
volume of the ark/ Volume of house = 2411719 / 21216
= 113.7
Answer: ratio is 113.7

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