Question

you are about to work some magic with matter. you have a rectangular cube of matter in its solid state. it measures 3 in x 4 in x 5 in. you have available a rectangular container measuring 5 in x 6 in x 3 in. you also have a cylindrical container witb base radius of 2.5 in and height 8 in. illustrate how that matter "fits" in each container when it is in its solid, liquid, and gaseous state.

Answer 1

In solid and liquid the matter can occupy the 90 in³ and 157.1 in³ volume.

The matter in gaseous state can be expanded to occupy the volumes of the container.

Volume of each of the container

The volume of each of the container is calculated as follows;

Volume of the rectangular container

V = 5 in x 6 in x 3 in

V = 90 in³

Volume of the cylindrical container

V = πr²h

V = (π)(2.5 in)²(8 in)

V = 157.1 in³

Volume of the matter

Vm = 3 in x 4 in x 5 in

Vm = 60 in³

Matter in solid and liquid state

Matter has fixed volume in solid and liquid state.

In solid and liquid the matter can occupy the 90 in³ and 157.1 in³ volume.

Matter in gaseous state

Matter has no definite volume in gaseous state.

The matter in gaseous state can be expanded to occupy the volumes of the container.

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