Therefore, the slant height h of the triangle is given by:
[tex]\begin{gathered} h^2=4^2+3^2=16+9=25 \\ h=\sqrt{25}=5 \end{gathered}[/tex]Therefore, the slant height of the pyramid is 5 cm.
The lateral area of the pyramid is given by:
[tex]\frac{1}{2}\times6\times5\times4=60\text{ cm}^2[/tex]The base area is given by:
[tex]6\times6=36\text{ cm}^2[/tex]Therefore, the total surface area is given by:
[tex]60+36=96\text{ cm}^2[/tex]The volume is given by:
[tex]\frac{1}{3}\times36\times4=48\text{ cm}^3[/tex]Therefore, the total area is 96 cm² and
the total volume is 48 cm³
