Answer:
The height of the pyramid is [tex]9\ in[/tex]
Step-by-step explanation:
we know that
The volume of the rectangular pyramid is equal to
[tex]V=\frac{1}{3}BH[/tex]
where
B is the area of the rectangular base of the pyramid
H is the height of the pyramid
Find the area of the base B
[tex]B=5*7=35\ in^{2}[/tex]
we have
[tex]V=105\ in^{3}[/tex]
substitute the value of B and the value of V in the formula and solve for H
[tex]105=\frac{1}{3}(35)H[/tex]
[tex]315=(35)H[/tex]
[tex]H=315/35=9\ in[/tex]
The height of the pyramid is 9 inches.
A rectangular pyramid is a three dimensional object that has a rectangular base and triangular faces that correspond to each side of the rectangular base.
The volume of a rectangular pyramid = 1/3 .x length x width x height
In order to determine the height of the rectangular pyramid, divide the given volume by 1/3 and the area of the base of the rectangular pyramid.
Height = 105 / (1/3 x 5 x 7) = 9 inches
To learn more about pyramids, please check: https://brainly.com/question/243773
