To find the volume of a rectangular prism, we use the formula:
[tex]\[ V = \text{length} \times \text{width} \times \text{height} \][/tex]
Here’s the step-by-step process to determine the volume:
1. Identify the dimensions:
- Length ([tex]\( l \)[/tex]) = 17 inches
- Width ([tex]\( w \)[/tex]) = 8 inches
- Height ([tex]\( h \)[/tex]) = 19 inches
2. Substitute these values into the formula:
[tex]\[ V = 17 \, \text{inches} \times 8 \, \text{inches} \times 19 \, \text{inches} \][/tex]
3. Perform the multiplication:
- First, multiply the length and the width:
[tex]\[ 17 \times 8 = 136 \][/tex]
- Next, multiply the result by the height:
[tex]\[ 136 \times 19 = 2584 \][/tex]
Therefore, the volume of the rectangular prism is:
[tex]\[ 2584 \, \text{cubic inches} \][/tex]
