A rectangular prism is 10 inches tall, 7 inches wide, and 3 inches long. What is the volume of the prism?

volume is lengthxwidthxheight

Step-by-step explanation:

Length=3

Width=7

Height=10

3x7x10=210 inches ^3

d. vertex

step-by-step explanation:

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