The depth of the ocean is sometimes measured in fathoms (1 fathom = 6 feet) dist
ID: 1878931 • Letter: T
Question
The depth of the ocean is sometimes measured in fathoms (1 fathom = 6 feet) distance on the surface of the ocean is sometimes measured in nautical miles (1 nautical mile = 6076). The water beneath the surface rectangle 1.80 nautical miles by 2.50 nautical miles has a depth of 21.0 fathoms. Find the volume of water in cubic meters. The depth of the ocean is sometimes measured in fathoms (1 fathom = 6 feet) distance on the surface of the ocean is sometimes measured in nautical miles (1 nautical mile = 6076). The water beneath the surface rectangle 1.80 nautical miles by 2.50 nautical miles has a depth of 21.0 fathoms. Find the volume of water in cubic meters.Explanation / Answer
length = 1.80 nautical miles
= 1.80*6076 feet
= 10937 feet
width = 2.50 nautical miles
= 2.50*6076 feet
= 15190 feet
depth = 21.0 fathoms
= 21.0*6 feet
= 126 feet
use:
volume = length * width * depth
= 10937 feet * 15190 feet * 126 feet
= 2.093*10^10 feet^3
1 m = 3.281 feet
so,
volume = 2.093*10^10 feet^3
= (2.093*10^10) * (1/3.281 m)^3
= (2.093*10^10) * 0.02831 m^3
= 5.93*10^8 m^3
Answer: 5.93*10^8 m^3