The volume of the rectangular prism is 81 cubic inches.
A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles.
volume of rectangular prism = w × h× l
Where
l is the length of the rectangular prism
w is the width of the rectangular prism
h is the height of the rectangular prism
According to the given question
we have :
each cube inside the rectangular prism has an edge length [tex]\frac{3}{4}[/tex] inch
therefore,
the height, h = [tex]\frac{3}{4}[/tex]×8 = 6 inches (where 8 is the number of cubes)
length, l = [tex]\frac{3}{4}[/tex]×6 = 4.5 inches (where 6 is the number of cubes)
width, w = [tex]\frac{3}{4}[/tex]×4 = 3 inches (where 4 is the number of cubes)
⇒ volume = 6×4.5×3 = 81 cubic inches
Hence, the volume of the rectangular prism is 81 cubic inches.
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