Answer :
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:
[tex]V=h*w*l[/tex]
where
[tex]V[/tex] : is the volume
[tex]h[/tex] : is the height
[tex]w[/tex] : is the width
[tex]l[/tex] : is the length
Now we know that:
Volume of Box A ( [tex]V_{A}[/tex] ) is Equal to Volume of Box B ( [tex]V_{B}[/tex] ) so we have:
[tex]V_{A}=(2in)(3in)(6in)\\V_{A}=36 in[/tex]
So now we can find the Length ( [tex]l_{B}[/tex] ) of Box B easily, as we now the volume along with the height and the width, as follow:
[tex]V_{A}=V_{B}=36in\\\\36in = (3in)(4in)l_{B}\\\\36in=(12in)l_{B}\\\\l_{B}=\frac{36in}{12in}\\ \\l_{B}=3in[/tex]
So the Length of Box B is 3 inches, thus Option B. is correct.