Question

HELP find the volume and fast!! have to finish this so I can actually enjoy the rest of my summer and it just doesn't click in my head... so I just need the answer to move on with online school! https://media.glynlyon.com/g_geo_2012/8/groupi77.gif

Answer 1

1/3 *base area *height

Answer 2

the answer has to a square root, though. so idk how to do that.

Answer 3

the triangular base is a 45-45-90 triangle, thus we'd use the 45-45-90 rule
so the missing side, the longest one is \(\bf 4\sqrt{2}\)

so what's the Area of the triangular base, well, lemme stand it up


are is 1/2 base x height or \(\bf 8\sqrt{2}\)

Answer 4

now working on the brown triangle to get the height
well notice it has a bottom side of 2, and a longest side of twice as much
that means is a 30-60-90 triangle, thus we use the 30-60-90 rule
that means the missing side is \(\bf 2\sqrt{3}\)

so the Area of a pyramid is \(\bf \cfrac{1}{3} (\text{triangular base})(\text{height})\\
\cfrac{1}{3} (8\sqrt{2})(2\sqrt{3})\)