Question

The volume of this rectangular prism is 680 cubic inches. What is the value of s?

4 in
10 in
s

Answer 1

To find the value of \( s \) in the rectangular prism with given volume \( 680 \) cubic inches, we can use the formula for the volume of a rectangular prism, which is:

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

where \( l \), \( w \), and \( h \) are the length, width, and height, respectively. In this case, we are given:

- Length \( l = 4 \) inches
- Width \( w = 10 \) inches
- Height \( h = s \) inches (unknown)

We can plug the known values into the volume formula:

\[
680 = 4 \times 10 \times s
\]

This simplifies to:

\[
680 = 40s
\]

Now, to solve for \( s \), we divide both sides by \( 40 \):

\[
s = \frac{680}{40}
\]

Calculating this gives:

\[
s = 17
\]

Therefore, the value of \( s \) is \( \boxed{17} \).