Answer:

Step-by-step explanation:
The reciprocal of a number n is 
Given 8
, change to an improper fraction
=
=
, thus
reciprocal =
= 
Reduce the expressions, if possible by cancelling the common factors.
Exact form: 22/9
Decimal form: 2.4
Mixed Number form: 2 2/9
Dimensions of the rectangular prism: a=1/2 inches, b=2 inches, c=7/2 inchesVolumen of the rectangular prism: Vr=abcVr=(1/2 inches)(2 inches)(7/2 inches)Vr=[ (1*2*7) / (2*2) ] inches^3Vr=14/4 inches^3Vr=7/2 inches^3
Side of the cube: s=1 incheVolume of the cube: Vc=s^3Vc=(1 inche)^3Vc=1 inche^3
Number of cubes will fit into the rectangular prism: nn=Vr/Vcn=(7/2 inches^3) / (1 inche^3)n=7/2n=3.5
3.5 cubes with side lengths of 1 inche will fit into the prism
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