find the volume of the prism.
a) 1728 cu. in.
b) 864 cu. in.
c) 288 cu. in.

The volume of prism is 1728 cu. in.(Option a)
A prism is a geometric 3-D shape which is named by its shape of base, In a prism, base and its opposite face are same.
For example: Given here is a cubic prism and a shape with triangle as a base is a triangular prism.
Prism given here is also known as cube.
The volume of the cube is given by :
Side*Side*Side where side is the length of side of the base square.
Here side=12 inches
Volume of cube is given by the formula,
Volume=[tex]a*a*a[/tex]
Where a is edge of the cube.
We are given edge of cube as 12 inches
Plugging the value of edge in given formula:
Volume=[tex]12*12*12[/tex]
Volume = 1728 cubic inches.
Volume of cube is 1728 cubic inches.
Therefore, the volume of prism is 1728 cu. in
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