Answer
$$7360 \ cm^3.$$
Work Step by Step
We have $$(24.2 \ cm)(16.1 \ cm)(18.9 \ cm)=7363.818
\ cm^3.$$ Now, round this product to three significant digits, which is the accuracy of the least accurate measurement. That is, $$(24.2 \ cm)(16.1 \ cm)(18.9 \ cm)=7360 \ cm^3.$$