Geometry

[fresh drift]

pls help me out

[void lava]

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[hazy eagle]

The water is in a shape of a right triangular prism with an isosceles right triangle as the base.

[fresh drift]

yes i get that but how is the volume equal to 4h^2

[hazy eagle]

What did you get?

[fresh drift]

I couldnt get a value for it

[hazy eagle]

Then start by doing that.

[fresh drift]

I tried

[hazy eagle]

Can you show what you did?

[fresh drift]

It's very messy rn but i can show u the working out to this question from the solutions

i have the solution with me but it doesn't make sense

[hazy eagle]

Can you describe what you did?

[fresh drift]

I figured that since the triangle is isosceles, if u split the triangle into 2 (from the right angle to the base), u end up with two isosceles triangles (the perpendicular height and the base are equal)

[hazy eagle]

Well, you can do that, yes.

[fresh drift]

yeah so that would mean that the smaller triangle, that has the perpendiclar height as h, would also have half its base (the horizontal line) equal to h

[hazy eagle]

Yes.

[fresh drift]

so i found the volume of the smaller trianglular prism to be 2h^2

wait no

omg

wth

it's 4h^2

[hazy eagle]

Why? That's correct. Each half has volume 2h^2.

So, the whole thing has volume 4h^2.

[fresh drift]

im actually so dumb

i halved the base twice

[fresh drift]

THanks for ur help mate means a lot

[hazy eagle]

You're welcome!

[fresh drift]

+close