Question

perform the calculation. 2.5 cm × 15.3 cm × 4.6 cm write your answer with the correct number of significant figures. round if necessary. cm³

Explanation:

Step1: Multiply the numbers

$2.5\times15.3\times4.6 = 2.5\times(15.3\times4.6)=2.5\times70.38 = 175.95$

Step2: Determine significant - figures

The number 2.5 has 2 significant figures, 15.3 has 3 significant figures, and 4.6 has 2 significant figures. When multiplying, the result should have the same number of significant figures as the number with the least significant figures among the values being multiplied. So, we round 175.95 to 2 significant figures.
Rounding 175.95 to 2 significant figures gives 180.

Answer:

$180\ cm^{3}$