Question

Find the height of the figure below with the given volume.
6 in
6 in
h
Vequals216 in cubed
Question content area bottom
Part 1
hequals
  
enter your response here in ​(Simplify your​ answer.)

Answer 1

To find the height \( h \) of a rectangular prism (box) given its volume \( V \), we can use the formula for the volume of a rectangular prism:

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

Where:
- \( V \) is the volume
- \( l \) is the length
- \( w \) is the width
- \( h \) is the height

Given that the volume \( V = 216 \) cubic inches and both the length \( l \) and width \( w \) are 6 inches, we can substitute these values into the formula:

\[
216 = 6 \times 6 \times h
\]

Now, simplify the multiplication on the right side:

\[
216 = 36h
\]

Next, we can solve for \( h \) by dividing both sides by 36:

\[
h = \frac{216}{36}
\]

Calculate \( h \):

\[
h = 6
\]

Thus, the height \( h \) of the figure is:

\[
\boxed{6} \text{ in}
\]