Question

Will make brainliest if answered correctly

Answer 1

Answer:

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:

$V=h*w*l$

where

$V$ : is the volume

$h$   : is the height

$w$   : is the width

$l$   : is the length

Now we know that:

Volume of Box A ( $V_{A}$ )  is Equal to Volume of Box B ( $V_{B}$ ) so we have:

$V_{A}=(2in)(3in)(6in)\\V_{A}=36 in$

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

$V_{A}=V_{B}=36in\\\\36in = (3in)(4in)l_{B}\\\\36in=(12in)l_{B}\\\\l_{B}=\frac{36in}{12in}\\ \\l_{B}=3in$

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