The lateral edge of a regular triangular pyramid is 12 dm, the sides of the bases are 10 and 5 dm

The lateral edge of a regular triangular pyramid is 12 dm, the sides of the bases are 10 and 5 dm. Find the volume of the pyramid.

In solving this problem, we need to know a special formula for finding the volume of the pyramid.

So, we know the values of the sides of the bases and the edge.

So we can find the area.

S = 10 * 5 = 50 decimetres².

Next, we find the value of AC.

It is equal to 5√5.

Now let’s find the height in this pyramid.

H = √ (144 – 125) = 19.

We decide further.

And now we have all the data to find the volume of the pyramid.

V = 50 * √19 / 3.

Thus, we solved the problem, because we answered all the questions and found all the data.