Question

question 18
how many \\(\mathrm{cm^3}\\) are in a 1.50 quart bottle?
\\(\circ\\) \\(1.42 \times 10^3 \mathrm{cm^3}\\)
\\(\circ\\) \\(1500 \mathrm{cm^3}\\)
\\(\circ\\) \\(1.59 \times 10^3 \mathrm{cm^3}\\)
\\(\circ\\) none of these

Explanation:

Step1: Recall conversion factor

We know that 1 quart (US liquid quart) is approximately equal to 946.353 cubic centimeters. So the conversion factor is $1\ \text{quart} = 946.353\ \text{cm}^3$.

Step2: Set up the conversion

We need to convert 1.50 quarts to cubic centimeters. So we multiply the number of quarts by the conversion factor:
$\text{Volume in cm}^3=1.50\ \text{quart}\times\frac{946.353\ \text{cm}^3}{1\ \text{quart}}$

Step3: Calculate the result

First, calculate $1.50\times946.353 = 1419.5295\ \text{cm}^3$. Rounding this to a reasonable number of significant figures (since 1.50 has three significant figures), we get approximately $1.42\times 10^{3}\ \text{cm}^3$ (because $1419.5295\approx1420 = 1.42\times 10^{3}$).

Answer:

A. $1.42\times 10^{3}\ \text{cm}^3$