Acube shaped box has a volume of 125 cubic inches. if the box is packed full of cubes with edge lengths of 1/3 inch how many cubes can fit along one side of the box? show how you know

There are 3375 cubes that can be fit along one side of the box.

Step-by-step explanation:

Since we have given that

Volume of cube shaped box = 125 cubic inches

Length of small cubes =

So, volume of small cubes would be

so, Number of cubes that can be fit along one side of the box is given by

Hence, there are 3375 cubes that can be fit along one side of the box.

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.