Question

Question 3

3. Find the height of the
rectangular prism below if
the volume is 334.8 meters
cubed.
18 m
Your answer
Page

Answer 1

Answer:
`h=3.1\ m`

Explanation:

The missing figure is attached.

For this exercise it is important to remember that the volume of a rectangular prism can be calculated using the following formula:

`V=lwh`

Where "V" is the volume, "l" is the length, "w" is the width and "h" is the height of the rectangular prism.

In this case, as you can identify in the figure attached, the length and the width of this rectangular prism are:

`l=18\ m\\\\w=6\ m`

And you already know that:

`V=334.8\ m^3`

Therefore, knowing those values, you can substitute them into the formula and then solve for "h" in order to find its value.

This is:

`334.8\ m^3=(18\ m)(6\ m)h\\\\(334.8\ m^3)/(108\ m^2)=h\\\\h=3.1\ m`