Answer:
9 inches
Step-by-step explanation:
base is rectangular in shape
Side of base of square pyramid is X inches
height of square pyramid is 1/9 X
Volume of any pyramid is 1/3 *(area of base* height of pyramid)
area of base of square pyramid = Side of base * Side of base
as area of square is equal to side * side
area of base of square pyramid = x* x square inches = [tex]x^2 sq.\ inches[/tex]
Volume of pyramid = 1/3 *(area of base* height of pyramid)
substituting given value of of volume of pyramid , height of pyramid and area of base calculated above we have
[tex]27 = 1/3(x^2)*(1/9 x)\\\\27*3*9 = x^3\\729 = x^3\\x = \sqrt[3]{729} \\x = 9[/tex]
Therefor value of x is 9 inches.
