Question

Box A has a volume of 32 cubic meters. Box B is similar to box A. To create box B, box A's dimensions were tripled. What is the volume of box B?

a. 864 m3
b. 288 m3
c. 96 m3
d. 32 m3

Answer 1

The correct option is A.

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* b* h`

`32=l* b* h` ...(1)

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

The volume of box B is

`V=3l* 3b* 3h`

`V=27* (l* b* h)`

Using equation (1), we get

`V=27* (32)`

`V=864`

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

Answer 2

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