Final answer:
Dividing 5.63 cm³ by the product of 4.2 cm and 3.83 cm gives a result approximately 0.3499 cm, which is then rounded to two significant figures, yielding 0.35 cm.
Step-by-step explanation:
To solve the given problem (5.63 cm³) / (4.2 cm x 3.83 cm), we first perform the multiplication in the denominator: 4.2 cm x 3.83 cm = 16.086 cm². Next, we divide the volume by this area: 5.63 cm³ / 16.086 cm². When we perform the division, we get the result, and this result will be expressed in centimeters because we are dividing volume by area (which leaves us with a linear dimension). Finally, we round our answer to the correct number of significant figures. The number 5.63 has three significant figures, while 4.2 has two significant figures and 3.83 has three significant figures. Based on the rules of multiplication and division with significant figures, the answer should be rounded to the same number of significant figures as the measurement with the least number, which is two in this case.
The calculated result before rounding is approximately 0.3499 cm, and after rounding to two significant figures, the final answer is 0.35 cm.