This wedge of cheese is shaped like a triangular prism. The wedge of cheese is 10 inches tall. The base of the cheese is shaped like a triangle with a base of 9 and a height of 8 inches. If you ate this whole block of cheese, how many cubic inches would you have eaten?

y=mx+b

step-by-step explanation:

m slope, b y-intercept

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.