Imcool

As a side note, I don't mean to be arrogant. When I named myself "ImCool" I was 9 years old, and had no idea how much time I would spend on this great website. Is there like any way to change your name?

I believe \(sin(\theta)\) would be \(\frac{24}{25}\).

Please correct me if i am wrong

Correct me if im wrong... but I'm pretty sure x can be all real numbers?

Can you post the picture by any chance?

We call one base x.

\(\frac{(x+x+4)12}{2} = 80\)

\((x+x+4)6 = 80\)

\(x+x+4 = 40/3\)

\(2x = 28/3\)

\(x = 14/3\)

\(x+4 = 26/3\)

These are the side lengths for the 2 bases. I do not know the other 2 lengths, since i do not know where they are positioned.

Perhaps you have a picture you couldn't post, so I suggest using the pythagorean theorem for the other 2 sides, one side being the height.

This one is pretty straightforward, you should try it.

\(3a^5-a^4+4a^3+22a^2-4a+48\)

Alrighty...

3. For this one, I will calculate the white parts and subtract from the volume. You can try and do it the other way around.

The pyramid ABCF has an area that is half of half of the rectangular prism. You can see the divisions, FC and triangle ACF.

Same thing for the other white parts, so this sums to 3/4 of the total volume, therefore the shaded area is 1/4 of the prism. The volume is 60.

Yaey  I got it right! Currently reading number 3.