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Dima020 [189]
3 years ago
6

Will make brainliest if answered correctly

Mathematics
1 answer:
Brut [27]3 years ago
8 0

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.

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