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Remember that all of the edges are equal.
The area of an equilateral triangle with a side length of s is A_(â–³)= s^2sqrt(3)4.
9sqrt(3) square centimeters
We are asked to sketch a tetrahedral solid that models unique salt and pepper shakers. A tetrahedron is a a triangular pyramid. Since each edge of a shaker measures 3 centimeters, each face of the tetrahedron is an equilateral triangle.
We are asked to find the total surface area of one shaker S. The shaker has 4 sides, each in the shape of an equilateral triangle with a side length of s= 3 centimeters. We will use the formula for the area of an equilateral triangle, P_(â–³).
P_(â–³)= s^2sqrt(3)/4
s= 3
Calculate power
a*b/c= a* b/c
Multiply
Calculate quotient
Therefore, the total surface area of one shaker is 9sqrt(3) square centimeters.