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Answer :
To find the volume of a cube with each edge of 16 inches and convert it to gallons, first compute its volume as 4096 cubic inches and then use the conversion factor to get approximately 17.73 gallons.
To find the volume of the cube, use the formula for the volume of a cube: length times width times height. Since all edges are equal, the formula simplifies to:
Volume = [tex]side^3[/tex]
Given the edge length is 16 inches:
Volume = 16 inches * 16 inches * 16 inches
= 4096 cubic inches
Next, convert the volume from cubic inches to gallons using the conversion factor provided:
1 gallon = 231 cubic inches
Gallons = Volume (in cubic inches) / Conversion factor
Gallons = 4096 cubic inches / 231 cubic inches per gallon
≈ 17.73 gallons
Therefore, the container holds approximately 17.73 gallons of water when filled to the rim.
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