find the volume of a right retangluar prism with length 12 in, width 10 in and height 6 in. round to the nearest tenth if nesscary.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

if i put something wrong your not gonna like it so rather not say nothing.

answer: i dont know but if you try hard you will get it right : )

step-by-step explanation: