Answer:
The height is 36 in
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular based pyramid.
Step one
Given data
Volume v = 1944 in
length of base l = 18 in
width of base w = 9 in
Height h= ?
Step two
we know that the expression for the volume of a pyramid is given as
[tex]volume=\frac{ lwh}{3}[/tex]
substituting our given data we have
[tex]volume = \frac{18*9*h}{3} \\volume = \frac{162h}{3} \\volume= 54h[/tex]
but volume = 1944 in therefore
[tex]1944= 54h\\h= \frac{1944}{54} \\h= 36 in[/tex]
