To find the total volume of \( 1.5 \times 10^6 \) sugar cubes, each with a volume of \( 0.19 \) mL, we can use the formula:
\[ \text{Total Volume} = \text{Number of Cubes} \times \text{Volume of One Cube} \]
Substituting the given values:
\[ \text{Total Volume} = 1.5 \times 10^6 , \text{cubes} \times 0.19 , \text{mL/cube} \]
Calculating the multiplication:
\[ \text{Total Volume} = 1.5 \times 0.19 \times 10^6 , \text{mL} \]
Calculating \( 1.5 \times 0.19 \):
\[ 1.5 \times 0.19 = 0.285 \]
Now, we have:
\[ \text{Total Volume} = 0.285 \times 10^6 , \text{mL} \]
To express \( 0.285 \) in scientific notation, we can write it as \( 2.85 \times 10^{-1} \). Therefore:
\[ 0.285 \times 10^6 = 2.85 \times 10^{-1} \times 10^6 \]
When multiplying the powers of 10, we add the exponents:
\[ 2.85 \times 10^{-1 + 6} = 2.85 \times 10^5 \]
Thus, the total volume of the sugar cubes in scientific notation is:
\[ \text{Total Volume} = 2.85 \times 10^5 , \text{mL} \]