Respuesta :
The base area of the pyramid will be 108 inches.
We have rectangular pyramid with a height of 6 inches and volume of the pyramid is 216 inches cubed.
We have to find the area of the base of this pyramid.
What is the formula to find the Volume of the pyramid with base length = L, base width = w and pyramid height = h?
The formula to find the volume of the pyramid with base length = L, base width = w and pyramid height = h is
[tex]V =\frac{Lwh}{3}[/tex]
Base area of the pyramid is the product of ' L ' and ' w ', hence we can replace it with ' A(b) ' . On rearranging, the formula becomes -
[tex]Lw =\frac{3V}{h}[/tex]
A(b) = [tex]\frac{3\times216}{6} = 108[/tex] inches
Hence, the base area of the pyramid will be 108 inches.
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