Answer:
Option 2nd is correct
volume of prism is, 288 cu. in.
Step-by-step explanation:
Volume of prism(V) is given by:
.....[1]
where,
B is the Base area
h is the height of the prism.
Area of rhombus(A) is given by:

where,
are the diagonals of the rhombus.
As per the statement:
A prism of height 12" has a rhombus with diagonals 6" and 8" for a base.
⇒
,
and h = 12"
Find the base area i.,e Area of rhombus.

Simplify:
square inches.
Substitute the given values in [1] we have;
cubic inches.
Therefore, the volume of prism is, 288 cu. in.