Verified Answer :

metchelle

The answer would be 864 m³ if the 32 volume was tripled. This is because when we are tripling the volume of the rectangle we are increasing 3 dimension, thus we will be multiplying 3 sides by the increase of  which is equal to 27. Then 32 times 32 is 864 m³

Answer:

The correct option is A.

Step-by-step explanation:

It is given that the volume of box A is 32 cubic meters.

Let dimensions of the box A are l×b×h.

It is given that the dimensions of the box B were tripled than box A. So the dimensions  of the box B are 3l×3b×3h.

The volume of box A is

\(V=l\times b\times h\)

\(32=l\times b\times h\)             ...(1)

Where, l is length, b is breadth and h is height.

The volume of box B is

\(V=3l\times 3b\times 3h\)

\(V=27\times (l\times b\times h)\)

Using equation (1), we get

\(V=27\times (32)\)

\(V=864\)

The volume of box B is 864 cubic meter. Therefore the correct option is A.

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