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The area of the entire surface of a rectangular tetrahedron equal to 233.895

Select the type of tetrahedron:
Side a: Side b: Side c: Side d: Side e: Side f:

Rectangular tetrahedron

Rectangular tetrahedron – the angle between all three edges at one vertex is straight, i.e. equal to 90°
The formula for the surface area of a rectangular tetrahedron: The formula for the surface area of a rectangular tetrahedron: where a,b,c are the sides at an angle of 90°, d,e,f are the sides of the base

Solution:
S1 =
a·b
2
=
11·11
2
=
121
2
= 60.5

S2 =
b·c
2
=
11·11
2
=
121
2
= 60.5

S3 =
a·c
2
=
11·11
2
=
121
2
= 60.5

p =
d+e+f
2
=
11+11+11
2
=
33
2
= 16.5

S4 = p·(p-d)·(p-e)·(p-f)
= 16.5·(16.5-11)·(16.5-11)·(16.5-11)
= 16.5·5.5·5.5·5.5
= 52.395

S = S1+S2+S3+S4
= 60.5+60.5+60.5+52.395
=
233.895

a: The area of the entire surface of a rectangular tetrahedron equal to 233.895