PLEASE URGENT HELP Gerald assembled a wooden gate, as shown below, where each of the six boards that make up the lower part of the gate are the same size and the top piece is a semi-circle shaped piece of wood.
If x = 6 inches, y = 2 inches, and z = 3 feet, what is the volume of wood used to make the gate, to the nearest cubic inch?

A. 2,746 in3

B. 1,234 in3

C. 4,628 in3

D. 3,610 in3

Maybe 2 or 3

Step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.