Question

The volume of this rectangular prism is 10 cubic meters. What is the value of m?

1 m
m
2 m

Answer 1

To find the value of \( m \) for a rectangular prism with a volume of \( 10 \) cubic meters, we need to know the dimensions of the prism. The volume \( V \) of a rectangular prism is calculated using the formula:

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

where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the prism.

If you provide the specific dimensions in terms of \( m \), I can help you solve for \( m \). For example, if the dimensions are given as:

- Length \( = m \)
- Width \( = 2m \)
- Height \( = 1 \)

Then the equation would be:

\[
V = m \times 2m \times 1 = 2m^2
\]

Setting this equal to the volume:

\[
2m^2 = 10
\]

Solving for \( m \):

\[
m^2 = \frac{10}{2} = 5
\]

\[
m = \sqrt{5}
\]

If you provide more specific information about how \( m \) relates to the dimensions, I can solve for \( m \) accurately.