Question

Use cubes with fractional edge lengths to find the volume of the right rectangular prism.
five sevenths in.
two sevenths in.
three sevenths in.
Question content area bottom
Part 1
The volume of the right rectangular prism is
  
enter your response here in.cubed.

Answer 1

To find the volume of a right rectangular prism, you can use the formula:

\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]

In this case, the dimensions given are:

- Length: \( \frac{5}{7} \) inches
- Width: \( \frac{2}{7} \) inches
- Height: \( \frac{3}{7} \) inches

Plugging these values into the volume formula:

\[
\text{Volume} = \left(\frac{5}{7}\right) \times \left(\frac{2}{7}\right) \times \left(\frac{3}{7}\right)
\]

First, multiply the numerators:

\[
5 \times 2 \times 3 = 30
\]

Next, multiply the denominators:

\[
7 \times 7 \times 7 = 343
\]

Now, put it together:

\[
\text{Volume} = \frac{30}{343} \text{ cubic inches}
\]

So, the volume of the right rectangular prism is:

\[
\frac{30}{343} \text{ in}^3
\]