Use the image to answer the question.

An illustration shows a vertical rectangular prism made of cubes placed as two columns, each 5 cubes high.

What is the volume of the right rectangular prism packed with 10 cubes? Each cube has an edge length of 1/3
meter.

(1 point)
Responses

10/27
cubic meters
Start Fraction 10 over 27 End Fraction cubic meters

1/27
cubic meters
Start Fraction 1 over 27 End Fraction cubic meters

10/3
cubic meters
Start Fraction 10 over 3 End Fraction cubic meters

10 cubic meters

1 answer

To find the volume of the right rectangular prism packed with 10 cubes, we first need to determine the volume of a single cube and then multiply that by the number of cubes.

The edge length of each cube is given as \( \frac{1}{3} \) meter.

The volume \( V \) of a cube is calculated using the formula:

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

Substituting the edge length into the formula:

\[ V = \left( \frac{1}{3} \right)^3 = \frac{1}{27} \text{ cubic meters} \]

Now, to find the total volume for 10 cubes, we multiply the volume of one cube by 10:

\[ \text{Total Volume} = 10 \times V = 10 \times \frac{1}{27} = \frac{10}{27} \text{ cubic meters} \]

Thus, the volume of the right rectangular prism packed with 10 cubes is

\[ \frac{10}{27} \text{ cubic meters} \]

The correct response is:

10/27 cubic meters.