Answer:
[tex]V=512in^3[/tex]
Step-by-step explanation:
A rectangular pyramid is a polyhedron whose surface is formed by a base that is a rectangle and triangular side faces that converge on a vertex called the apex. The volume of a rectangular pyramid is given by:
[tex]V=\frac{1}{3} *b^2*h[/tex]
Where:
[tex]b=Area\hspace{3}of\hspace{3}the\hspace{3}base\\h=Pyramid\hspace{3}height[/tex]
The problem tell us that on each side the base has a length of 4 in, therefore, the area of the base is:
[tex]b=4*4=16in[/tex]
The problem also tell us that:
[tex]h=6in[/tex]
So, replacing the previous data in the volume equation:
[tex]V=\frac{1}{3} *(16)^{2}*6=\frac{256*6}{3} =\frac{1536}{3} =512in^3[/tex]
