To find the volume of a box, you can use the formula for the volume of a rectangular prism, which is given by:
[tex]\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \][/tex]
Let's go through the steps to solve the problem.
1. Identify the dimensions of the box:
- Length, [tex]\( l = 6 \)[/tex] centimeters
- Width, [tex]\( w = 3 \)[/tex] centimeters
- Height, [tex]\( h = 2 \)[/tex] centimeters
2. Plug the dimensions into the volume formula:
[tex]\[ \text{Volume} = 6 \, \text{cm} \times 3 \, \text{cm} \times 2 \, \text{cm} \][/tex]
3. Multiply these values together:
[tex]\[ \text{Volume} = 6 \times 3 \times 2 = 18 \times 2 = 36 \][/tex]
4. Therefore, the volume of the box is:
[tex]\[ 36 \, \text{cubic centimeters} \][/tex]
So, the volume of Susan's box for paperclips is [tex]\( 36 \)[/tex] cubic centimeters.
