In[]:=
s1=ImplicitRegion[
2
x
+
2
y
+
2
z
+4x-2y+4z+5<=0,{x,y,z}]
Out[]=
ImplicitRegion[5+4x+
2
x
-2y+
2
y
+4z+
2
z
≤0,{x,y,z}]
In[]:=
s2=ImplicitRegion[
2
x
+
2
y
+
2
z
<=4,{x,y,z}]
Out[]=
ImplicitRegion[
2
x
+
2
y
+
2
z
≤4,{x,y,z}]
In[]:=
Volume@RegionIntersection[s1,s2]
Out[]=
2.87979