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Question
the dimensions of a box are 4.5 cm wide by 5.750 cm long by 1.50 cm tall. what is the volume of the box, taking significant figures into account?
_____ cm³
do not include units in your answer.
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Step1: Recall volume formula
$V = l\times w\times h$
Step2: Substitute values
$V=5.750\times4.5\times1.50$
Step3: Calculate the product
$V = 5.750\times4.5\times1.50=38.8125$
Step4: Consider significant - figures
The least number of significant figures among the given measurements is 2 (in 4.5). So, we round 38.8125 to 2 significant figures. Rounding 38.8125 to 2 significant figures gives 39.
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39