What is the volume of a rectangular prism with a length of 4 centimeters, a width of 1 centimeter, and a height of 7 centimeters?

(Note: The base of Tim's closet is a rectangle.)



Answer :

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.