Tag Archives: hexahedrons

How much Can a Box Hold? 

The volume of a box is pretty much what you want to look at when you’re trying to explore how much boxes can hold. They’re 3D spaces that hold gases, solids, or liquids in order to hold the contents within. The volume of this can be decided with different formulas to help you figure this out. This is usually done in cubic units to depict this, and with different math formulas out there to help with shapes, it can help to make even the most complex of shapes easy for you to understand. 

Types of Volumes 

There are various different types of volumes that you can figure out. This is good for the application of this in your boxes, and helps you get the right idea of what it is that you’ll be putting in there. 


Cubes also known as regular hexahedrons are 3-D shapes that come with six sides that are square. This is pretty much the typical box volume that you’re going for. This is six different sides and each of these meet at 4 vertices, with the cube containing the polyhedral, congruent, and other angles and faces. The edges on each of these are equal, so to find this volume, you want to simply measure out your lengths on each side, and then multiply that by three different instances, so it’s pretty simple. 

Rectangular priss 

These are a bit different, since they’re not always what people are going to use, but for longer items, this is definitely a type of shape that you’re going for. This contains six different rectangular faces, and everything is a right angle.  Unlike the previous one, this is also quite similar to a box, and is not two dimensional like rectangles. It’s got lengths, weight, and width for this too. 

The volume of this is done through measuring all of this, and you basically multiply the length by the width by the height in order to get the results and the answers that you’re looking for. 


Prisms include two ends that are parallel, or different bases, which are similar in size along with shape.  A polygon that forms these bases are actually what is the name for these prisms. Prisms that have two triangles for example are known as triangular prisms, the same goes for rectangles. 

The two sides of this are then connected by different rectangles, and of course, the side numbers are determined by the sides of the bases of the polygon. A prism for example has the same measure of the cross-section near the length of this, and you basically want to find the polygon that creates the base of this, and then, measure the height that’s perpendicular from a base to the next, and then, you multiply the two in order to create the volume. if you multiply the area of the base with the height, you then get the area of this. 


Finally, we’ve got pyramids, which is created by making a base that’s a polygon, with a vertex or apex, and they basically come together to make sides that are triangular, and the number of these sides is made up by the sides of this near the base. Basically, they’re classified based on their base, which can be a polygon.  A pyramid that comes with a base that’s square is known as a square pyramid, and you basically find this area by taking 1/3 and then multiply it by the area of your base, and then the height. Use this to find the surface area of any box or item.