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.
enter the answer

Explanation:

Step1: Recall volume formula

The volume $V$ of a rectangular - box is given by $V = l\times w\times h$, where $l$ is the length, $w$ is the width, and $h$ is the height.

Step2: Identify significant - figures rules

When multiplying, the result should have the same number of significant figures as the measurement with the fewest significant figures. The width $w = 4.5$ cm has 2 significant figures, the length $l = 5.750$ cm has 4 significant figures, and the height $h = 1.50$ cm has 3 significant figures. So, our result will have 2 significant figures.

Step3: Calculate the volume

$V=5.750\times4.5\times1.50$. First, $5.750\times4.5 = 25.875$, then $25.875\times1.50=38.8125$.

Step4: Round to correct significant figures

Rounding $38.8125$ to 2 significant figures gives $39$.

Answer:

39