Question

The volume of this rectangular prism is 14 cubic feet. What is the value of m?
the h is 1 and the w is 2

Answer 1

To find the value of \( m \) where the volume of the rectangular prism is given by the formula:

\[
V = l \times w \times h
\]

we have the volume \( V = 14 \) cubic feet, the width \( w = 2 \) feet, and the height \( h = 1 \) foot. We need to find the length \( l \) (which is represented as \( m \)).

Plugging the known values into the volume formula:

\[
14 = l \times 2 \times 1
\]

This simplifies to:

\[
14 = 2l
\]

To solve for \( l \):

\[
l = \frac{14}{2} = 7
\]

Thus, the value of \( m \) is:

\[
\boxed{7}
\]