# You want to find the values of x so that the volume of the rectangular prism is no more than 36 cubic units. 8x+4<36 2x+9.5≤36 36x+18<36 35x+18≤36

Question
Solid Geometry
You want to find the values of x so that the volume of the rectangular prism is no more than 36 cubic units.
8x+4
$$\displaystyle{2}{x}+{9.5}≤{36}$$
36x+18
$$\displaystyle{35}{x}+{18}≤{36}$$

2020-11-30
The volume of a rectangular prism is given by: V=lwh
Substituting the given dimensions, we have V=4(2x+1)(4.5)
V=(8x+4)(4.5)
V=36x+18
The volume is no more than 36 cubic units which means that it is less than or equal to 36 cubic units: 36x+18<=36

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