physics question

Question

A rectangular clear-plastic container is filled with nickels at a carnival booth. The container is 45.675 cm tall, 18.75 cm wide, and 9.325 cm long. Calculate the volume of the container, and write the answer using the correct number of significant figures

Select one:

a. 8161 cm³

b. 8160.8320 cm³

c. 8160.83 cm³

d. 8160.832 cm³

Answer 1

First, take note of the number of significant figures for each measurement:

45.675 - 5 sig fig

18.75 - 4 sig fig

9.325 - 5 sig fig

The number of sig fig for our answer will be the LOWEST of the measurements, therefore - 4 sig figs.

To calculate the volume (V) of a rectangular container, you multiply all the values:

V=45.675*18.75*9.325 = 8,160.0832... cm^3 . As we mentioned, we only need 4 significant figures, so the answer is 8,160 cm^3.