Volume of solid created = [tex]85m^{3}[/tex].
Step-by-step explanation:
We have , A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length of 5 m, a width of 4 m, and a height of 2 m. The side lengths of the cube are 5 m . Volume of solid created = Volume of cube - Volume of rectangular prism
Volume of cube = [tex]side^{3}[/tex]
⇒ [tex]Volume1 = side^{3}[/tex]
⇒ [tex]Volume1 = 5^{3}[/tex]
⇒ [tex]Volume1 = 125m^{3}[/tex]
Volume of rectangular prism = [tex]wlh[/tex]
⇒ [tex]Volume2 = wlh[/tex]
⇒ [tex]Volume2 = 5(4)(2)[/tex]
⇒ [tex]Volume2 = 40m^{3}[/tex]
Now, Volume of solid created = Volume of cube - Volume of rectangular prism
⇒ Volume of solid created = [tex]Volume1 - Volume2[/tex]
⇒ Volume of solid created = [tex]125m^{3} - 40m^{3}[/tex]
⇒ Volume of solid created = [tex]85m^{3}[/tex]
∴ Volume of solid created = [tex]85m^{3}[/tex].
