Question

What is the volume of this pyramid? How would I go about this?

Answer 1

The volume of a pyramid is:

`(lwh)/(3)`

You need the height for this. You are given the hypotenuse of a triangle, and the base of that triangle is half of 42 if you can see that. So, let's solve for the height using pythagorean theorem:

`35^2 = 21^2+h^2`

Solve for h:

`b = √(35^2-21^2) = 28`

Now you have all the information, let's just plug everything in:

`(42*42*28)/(3) = 597.33`

So, your volume is 597.33 cm³. Hope everything makes sense. hmy if something doesn't.