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Mathematics, 06.01.2020 02:31 calebabaltimore

Marisol is in a bathtub that is shaped like a rectangular prism, about 5 ft long, 2 ft wide, and 1 ft deep. she is drinking hot cocoa that is in a cylindrical mug about 3 in. wide and 4 in. tall. she wonders how many mugs of water it would take to fill her tub. her reasoning, shown here, contains an error.

the bathtub has a volume of about 17,280 in³, or about 1×10^4 in³.
the mug has a volume of about 28 in³, or about 3×10^1 in³.

1×10^4/3×10^ 1=1/3×10^3 , so about 333 mugs of water would fill the bathtub.

what is marisol's error?

the volume of the mug is not 28 in³.
the volume of the tub is not abut 17,280 in³.
the value 17,280 should have been rounded to 2×10^4 .
the value 28 should have been rounded to 2×10^1

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