To find the volume of a rectangular prism with given dimensions, you need to follow these steps:
1. Identify the dimensions of the rectangular prism, which are length, width, and height.
- The length of the prism is 4 centimeters.
- The width of the prism is 1 centimeter.
- The height of the prism is 7 centimeters.
2. Use the volume formula for a rectangular prism:
[tex]\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\][/tex]
3. Substitute the given dimensions into the formula:
[tex]\[
\text{Volume} = 4 \, \text{cm} \times 1 \, \text{cm} \times 7 \, \text{cm}
\][/tex]
4. Perform the multiplication:
[tex]\[
\text{Volume} = 4 \times 1 \times 7
\][/tex]
5. Simplify the multiplication step by step:
[tex]\[
4 \times 1 = 4
\][/tex]
[tex]\[
4 \times 7 = 28
\][/tex]
6. Therefore, the volume of the rectangular prism is:
[tex]\[
\text{Volume} = 28 \, \text{cubic centimeters}
\][/tex]
So, the volume of the rectangular prism is 28 cubic centimeters.