Answer:
The volume of the given prism is 48 cubic units.
Explanation:
The volume of a prism can be calculated by multiplying the area of its base by its height.
The bases of the given prism are the congruent right triangles ABC and DEF.
We have been given the measures of sides AB and AC of triangle ABC.
To determine the area of ΔABC, we first need to calculate the measure of side BC using Pythagoras Theorem:





The area of a triangle is half the product of its base and height.
The base and height of a right triangle are its legs.

Therefore, the area of the base of the prism is 6 square units.
Finally, to find the volume of the prism, multiply the area of the base by the height of the prism:

Therefore, the volume of the given prism is 48 cubic units.