Answer: the height of the pyramid is 6 inch.
Step-by-step explanation:
V=50 inch³ a=5 inch H=?
Formula of volume square pyramid is:
[tex]\boxed {V=\frac{1}{3}*S_{base}*H },[/tex]
where: Sbase - pyramid base area;
H - pyramid height.
Hence,
[tex]H=\frac{3*V}{S_{base}}\\[/tex].
Since the pyramid is square, its base is a square. ⇒
[tex]S_{base}=a^2\\S_{base}=(5\ inch)^2\\S_{base}=25\ inch^2\\H=\frac{3*50}{25} \\H=3*2\\H=6\ (inch).[/tex]
Good luck!
