McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
Mid-Chapter Quiz
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Exercise 11 Page 840

a 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.
b 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–ł).
S=4 P_(â–ł)
S=4* s^2sqrt(3)/4
â–Ľ
Substitute 3 for s and evaluate
S=4*( 3)^2sqrt(3)/4
S=4*9sqrt(3)/4
S=4* 9sqrt(3)/4
S=36sqrt(3)/4
S=9sqrt(3)
Therefore, the total surface area of one shaker is 9sqrt(3) square centimeters.