In a regular triangle pyramid, the base area is 2, the volume of the pyramid is 5, find the height of the pyramid.

We calculate the height of the pyramid from the following formula:

V = ⅓ Sh, where

h – the height of the pyramid,

V is the volume of the pyramid,

S is the base area.

Substitute the values from the condition into the formula:

5 = 2h / 3;

2h = 5 x 3;

2h = 15;

h = 15/2;

h = 7.5.

The height of the pyramid is 7.5.



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