What is the volume of the right rectangular prism packed with 8 cubes? Each cube has an edge length of 1/5

centimeter.

(1 point)
Responses

1/125
cubic centimeters
Start Fraction 1 over 125 End Fraction cubic centimeters

8 cubes
8 cubes

8/125
cubic centimeters
Start Fraction 8 over 125 End Fraction cubic centimeters

8/5
cubic centimeters

1 answer

To find the volume of the right rectangular prism packed with 8 cubes, we first calculate the volume of one cube. The volume \( V \) of a cube is given by the formula:

\[ V = \text{edge length}^3 \]

Each cube has an edge length of \( \frac{1}{5} \) centimeter. Therefore, the volume of one cube is:

\[ V = \left( \frac{1}{5} \right)^3 = \frac{1}{125} \text{ cubic centimeters} \]

Since there are 8 cubes, the total volume of the prism is:

\[ \text{Total volume} = 8 \times \frac{1}{125} = \frac{8}{125} \text{ cubic centimeters} \]

So, the final answer is:

\[ \frac{8}{125} \text{ cubic centimeters} \]

The correct response is:

8/125 cubic centimeters.