select the correct answer. the dimensions of ...
select the correct answer. the dimensions of a box are measured to be 18.4 inches by 17.92 inches by 26 inches. the volume of the box can be found by multiplying these three dimensions. what is the volume of the box expressed to the correct number of significant figures? a. 8,600 in³ b. 8,573 in³ c. 8,572.9 in³ d. 8,570 in³
Answer
# Explanation:
## Step1: Calculate the volume
$V = 18.4\times17.92\times26$
$V=18.4\times465.92$
$V = 8572.928$ in³
## Step2: Determine significant - figures
The number 18.4 has 3 significant figures, 17.92 has 4 significant figures, and 26 has 2 significant figures. When multiplying, the result should be reported to the least number of significant figures among the values being multiplied. So, we report the result to 2 significant figures. Rounding 8572.928 to 2 significant figures gives 8600 in³.
# Answer:
A. 8,600 in³