Question

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

Answer 1

The volume of a pyramid is:
$\frac{lwh}{3}$

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:
$b = \sqrt{35^2-21^2} = 28$

Now you have all the information, let's just plug everything in:
$\frac{42*42*28}{3} = 597.33$

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