Respuesta :

The volume of a pyramid with base area B and height x is:

[tex]V=\frac{1}{3}Bx[/tex]

Solve for x:

[tex]\Rightarrow x=\frac{3V}{B}[/tex]

The area of the base is given by the product of its sides, which have lengths 9in and 4in:

[tex]B=9in\times4in=36in^2[/tex]

Substitute the values of B and V into the expression for x:

[tex]x=\frac{3(66in^3)^{}}{36in^2}=5.5\text{ in}[/tex]

Therefore, the value of the height x, is:

[tex]5.5\text{ in}[/tex]

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