Will make brainliest if answered correctly
these two boxes have the same volume.

box a
height: 2 in., width: 3 in., length: 6 in.

box b
height: 3in., width: 4in., length: ?

what is the length of box b?

a.2in
b.3in
c.4in
d.9in

Option B.) 3 inches

Step-by-step explanation:

Let us first express some principles that we can use to solve our problem. Generally, the Volume of a Box is given by:

where

: is the volume

  : is the height

  : is the width

  : is the length

Now we know that:

Volume of Box A ( )  is Equal to Volume of Box B ( ) so we have:

So now we can find the Length ( ) of Box B easily, as we now the volume along with the height and the width, as follow:

So the Length of Box B is 3 inches, thus Option B. is correct.

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.

answer by yourhope:

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