To calculate the volume of a pyramid, we can use a known formula where B is the area of the base and h is the height.
V=1/3Bh
We know that the base of the pyramid is an equilateral triangle with the side length of 12 cm. To find the area of this triangle, we need to find its height. Recall that the height in an equilateral triangle height divides the triangle into two congruent 30^(∘)-60^(∘)-90^(∘) triangles.
Notice that, in a 30^(∘)-60^(∘)-90^(∘) triangle, the longer leg is sqrt(3) times the shorter leg. Therefore, the height of the base will be 6sqrt(3). Now we have everything to calculate the area of the base. Let's use the formula for the area of a triangle!
