The base length of triangular pyramid is b = 3 feet.
The height of the base of triagular pyramid is h = 3.
The height of triangular pyramid is H = 5 feet.
The mass of the triangular pyramid = 56 kg.
The formula for the volume of the pyramid is,
[tex]\begin{gathered} V=\frac{1}{3}\cdot B\cdot H \\ =\frac{1}{3}\cdot(\frac{1}{2}bh)\cdot H \\ =\frac{1}{6}b\cdot h\cdot H \end{gathered}[/tex]Substitute the values in the formula to determine the volume of pyramid.
[tex]\begin{gathered} V=\frac{1}{6}\cdot3\cdot4\cdot5 \\ =10 \end{gathered}[/tex]The formula for the density of the platic is,
[tex]\rho=\frac{M}{V}[/tex]Substitute the vlaues in the formula