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A פריזמה ישרה is a 3D shape made with two flat surfaces match on both end, we call them base. (the bases have identical shape and size) Everything in between is connected by rectangular sides (the faces of the prism). Imagine a box with a shape on the bottom. If the base is a square, then the shape looks like a square box, for example. The reason we call it “right” angular is because it stands straight up, and its edges are at right angles to the bases. Prisms may be slanted or tilted or other types, but not in this case. So “angular prism” means it has angles, which makes it appear to us in three dimensions, which gives it what looks like depth. These dimensions are useful to know because they help us see how to understand this shape and how to work with them.
The first necessary things about a right angular prism is its volume, for this purpose, we have to find three crucial measurements, the length, width, height of the prism respectively. In fact, volume is just a way of telling us, okay, how much stuff fits inside the shape, just like we measure, how much water a bottle can carry. We can apply a simple formula to the volume. The formula looks like this:
Another important measurement is surface area, which tells us how much area encloses the outside of the shape. We also use length, width and height, to find the surface area of a right angle prism mirror. Now we have to find the area of each of the different prism faces, and add them together to get the total surface area. So the formula for surface area looks like this:
Even architects, the people that design buildings and structures, use right angular prisms to create their plans and models. They can also work out how much material they need to construct the prism. So, if they are building a new school or a house, they will draw these shapes to ensure everything will fit together correctly and not hurt people when they come in.
Good thing about right angular prism is that it has some symmetrical features. Symmetry means one side of the shape is the mirror image of the other side. First off, the two polygonal bases are always the same size and shape, and they are parallel to each other, meaning they are also always the same distance apart. Second, the rectangular sides which link the bases also have the same area. This means that both sides would look identical if you sliced the prism in half.
The only reason for this to be different is that the prism is symmetrical; if so, then the height is a perpendicular line drawn from the top to the base of the prism, and it appears symmetric. Finally, when the prism is rectangular, angles of all the faces are 90 degrees. So the corners are like the corners of a square or rectangle, so you can better understand what you are looking at.
You are taught from the perspective of how far apart the space is, stretching it to the extremes creating a diagonal I usually consider a special line that creates on the other side two opposite corners, the one you see first when looking at the prism. It appears to be a little difficult to comprehend at the beginning, though by means of the height, length and width we can also ascertain the length of the diagonal. The gold for the diagona looks like this:
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