Question

if the length of each edge of a regular tetrahedron is a , then surface area
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Answer 1

Answer:

Step-by-step explanation:

1. Area of the slant surface of the regular tetrahedron  

= sum of the areas of three congruent equilateral triangles  

= 3 ∙ (√3)/4 a² square units;

Answer 2

Question :

If the length of each edge of a regular tetrahedron is a , then what is the surface area ?

Answer :

The surface area is √3 a^2 sq. units.

Given :

The length of each edge of a regular tetrahedron = a

To find :

The surface area

Solution :

We know, the surface area of tetrahedron = Sum of area's of 4 equilateral triangles.

Also, area of an equilateral triangle = √3/4 × a^2 where a is the length of the side

Thus, Surface Area = 4 × √3/4 × a^2 sq. units

= √3 a^2 sq. units

Hence, the surface area is √3 a^2 sq. units.

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