To perform the multiplication and express the answer in the correct number of significant figures, follow these steps:
Multiply the numbers together:
0.21 cm × 3.2 cm × 100.1 cm = 6.7392 cm³
Determine the number of significant figures in each number:
0.21 has two significant figures.
3.2 has two significant figures.
100.1 has four significant figures.
The result should have the same number of significant figures as the number with the fewest significant figures, which is 0.21 with two significant figures.
Round the result to two significant figures:
6.7392 cm³ rounded to two significant figures is approximately 6.7 cm³.
So, the answer is approximately 6.7 cm³ with two significant figures.