What is an erecting prism?

In the given figure, the principal section of a glass prism is an isosceles triangle$\mathrm{ABC}$ with $AB=AC$ . The face $AC$ is silvered. A ray incident normally on face $AB\text{,}$ after two reflections emerges from the base$\mathrm{BC}$ in a direction perpendicular to it. What is the angle$\angle BAC$ of a prism?

Show, with the help of ray diagrams, how an image is produced in a totally-reflecting prism.

Show, by a ray-diagram, how a totally reflecting glass prism can be used to deviate a ray through $90°$.

The refractive index of the material of the prism and liquid are $1.56$ and $1.32$, respectively. What will be the value of $\theta$ for the following refraction?

Draw ray diagram to deviate a ray of light by $90°$, $180°$ and inversion without deviation. Name the phenomenon used and write its conditions.

Show, by ray-diagram, how a totally reflecting glass prism can be used to deviate a ray through $180°$.