Hello!
The answer is:
The area of the base of the pyramid is:
[tex]BaseArea=108mm^{2}[/tex]
Why?
We are given the volume and the height of the hexagonal pyramid, so, to calculate the base of the area, we need to use the following formula:
[tex]Volume=\frac{1}{3}*BaseArea*Height[/tex]
So, we are given the following information:
[tex]Volume=144mm^{3}\\\\Height=4mm[/tex]
Then, substituting the given information and isolating the base area, we have:
[tex]Volume=\frac{1}{3}*BaseArea*Height[/tex]
[tex]144mm^{3} =\frac{1}{3}*BaseArea*4mm\\\\144mm^{3}*\frac{3}{4mm}=BaseArea\\\\BaseArea=108mm^{2}[/tex]
Hence, the area of the base of the hexagonal pyramid is equal to:
[tex]BaseArea=108mm^{2}[/tex]
Have a nice day!
