Calculate the volume of the game token to the nearest thousandth of a cubic centimeter.

a.2.430 cm 3
b.2.916 cm 3
c.2.187 cm 3
d.2.673 cm 3

c. 2.187 cm³

Step-by-step explanation:

V = 3 x (0.9)³ = 3 x 0.729 = 2.187 cm³

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.