Question #148819
The total area of a regular tetrahedron is 110.85 m2, determine its base edge in m.
1
Expert's answer
2020-12-08T07:39:55-0500

Using the formula

Area(A)=3×a2Area(A)=\sqrt3\times a^2

where aa is the length of the side and making aa the subject of the formula, we obtain:


a=13×334×Aa=\frac{1}{3}\times3^{\frac{3}{4}}\times\sqrt A


Substituting for A,


a=13×334×110.85a=\frac{1}{3}\times3^{\frac{3}{4}}\times\sqrt{ 110.85}

therefore:

a=7.99995ma=7.99995m

Which is approximately a=8ma= 8m


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