Given,
The measure of the base of triangular cross section is 4 inches.
The measure of the length of triangular cross section is 6 inches.
The measure of the height of the prism is 3 inches.
The volume of the cheese cake is calculated as,
[tex]\text{Volume = }\frac{1}{2}\times\text{length}\times base\times height[/tex]
Substituting the values then,
[tex]\begin{gathered} \text{Volume = }\frac{1}{2}\times6\times4\times3 \\ =3\times4\times3 \\ =36in^3 \end{gathered}[/tex]
Hence, the volume of the cheesecake is 36 cubic inches.
