Pia built a rectangular prism with cubes. The base of her prism has 12 cm cubes. If the prism was built with 108 cm cubes, what is the height of her prism?
The height of her prism is
centimeters.

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

c

c

c

c

c

c

c

cc

c

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.