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Mr. Vara is designing post caps in the shape of a square pyramid for a fence that he just built in his backyard. The caps are solid wood and each one has a volume of 94.5 cubic centimeters.What is the height, in centimeters, of a wooden post cap?

Respuesta :

Answer:

Height of the square pyramid is 6.569 centimeter

Step-by-step explanation:

The volume of the square pyramid is 94.5 cubic centimeters

The height of the square pyramid will be equal to the lengths of the sides of the square.

The volume of the square pyramid  is given by

[tex]a^2 * \frac{h}{3}[/tex]

or

[tex]\frac{a^3}{3} = 94.5\\a^3 = 94.5 *3\\a = \sqrt[3]{94.5*3} \\a = 6.569[/tex]centimeter

Height of the square pyramid is 6.569 centimeter

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