Answer:
h=94.87
Step-by-step explanation:
1. Volume of pyramid formula:
[tex]v=\frac{1}{3}*a^{2}*h[/tex]
[tex]a=b*h[/tex] Base Edge * Height of Pyramid
2. We have variables:
V = 480, Base Edge = 10, Height of Base = 16 (Inch)
3. Plug into formula + Rearrange:
[tex]\frac{3V}{h} =(b*h)^{2} [b^{2} *h^{2} ][/tex]
[tex]\frac{3V*b^{2} }{h} =h^{2}[/tex]
[tex]h^{2}=\frac{3*480*10^{2} }{16}[/tex]
[tex]h=\sqrt{9000}[/tex]
h≅94.868
