Question

use the information to answer the question.
a rectangular prism has a height of \\(\frac{2}{5}\\) m and a square base with an area of \\(2\frac{4}{5}\\) m².
what is the volume of the rectangular prism? enter the answer in the box.
\\(\square\\) m³

Explanation:

Step1: Convert mixed number to improper fraction

The base area $2\frac{4}{5}\ \text{m}^2$ converts to $\frac{2\times5 + 4}{5} = \frac{14}{5}\ \text{m}^2$.

Step2: Recall volume formula for prism

Volume $V = \text{Base Area} \times \text{Height}$

Step3: Substitute values and calculate

$$V = \frac{14}{5} \times \frac{2}{5} = \frac{28}{25}$$
Convert back to mixed number: $\frac{28}{25} = 1\frac{3}{25}$

Answer:

$1\frac{3}{25}$ (or $\frac{28}{25}$) $\text{m}^3$