Question

The volume of this rectangular prism is 770 cubic meters. What is the value of r?

14 m
5 m
r

r =
meters

Answer 1

To find the value of \( r \) in the rectangular prism with a volume of 770 cubic meters, we can use the formula for the volume of a rectangular prism:

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

In this case, the dimensions are given as:

- Length = 14 m
- Width = 5 m
- Height = \( r \) m

Plugging in the known values into the volume formula, we have:

\[
770 = 14 \times 5 \times r
\]

Calculating \( 14 \times 5 \):

\[
14 \times 5 = 70
\]

Now the equation simplifies to:

\[
770 = 70 \times r
\]

To find \( r \), divide both sides by 70:

\[
r = \frac{770}{70}
\]

Calculating the division:

\[
r = 11
\]

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

\[
\boxed{11} \text{ meters}
\]