To find the volume of the rectangular prism, you can use the formula for the volume of a prism:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
For this prism with a length of 5 inches, a width of 2 inches, and a height of 3 inches, the calculation would be:
\[ \text{Volume} = 5 , \text{in} \times 2 , \text{in} \times 3 , \text{in} = 30 , \text{in}^3 \]
Now, since you're interested in how many total 1-inch cubes fit in the rectangular prism, you can observe that each 1-inch cube occupies 1 cubic inch. Therefore, to find the number of 1-inch cubes that can fit in the entire volume, simply divide the volume of the prism by the volume of one 1-inch cube (which is 1 in³):
\[ \text{Number of 1-inch cubes} = \frac{\text{Volume of the prism}}{\text{Volume of one 1-inch cube}} = \frac{30 , \text{in}^3}{1 , \text{in}^3} = 30 \]
So, a total of 30 1-inch cubes can fit in the rectangular prism.