Answer:
The height of the pyramid is 11.81.
Step-by-step explanation:
Given:
A right rectangular pyramid has base dimensions of 23.2 by 17.0 and a volume of 1552.4.
Now, to find the pyramids height.
Let the height be [tex]h.[/tex]
Volume = 1552.4.
And the dimensions are:
Length (l) = 23.2.
Width (w) = 17.0.
Now, to get the height we put formula:
[tex]Volume =\frac{l\times w\times h}{3}[/tex]
[tex]1552.4=\frac{23.2\times 17.0\times h}{3}[/tex]
[tex]1552.4=\frac{394.4h}{3}[/tex]
Multiplying both sides by 3 we get:
[tex]4657.2=394.4h[/tex]
Dividing both sides by 394.4 we get:
[tex]11.81=h[/tex]
[tex]h=11.81[/tex].
Therefore, the height of the pyramid is 11.81.
