Recall that all the faces in our calculator are rectangles, and the area of a rectangle is calculated by multiplying its side lengths. Surface_area = 2 * base_area + lateral_area, Therefore, since the solid has two bases (the bottom one and the top one), the surface area of a rectangular prism formula is as follows: On the other hand, A_l denotes the lateral area, meaning the total area of the four lateral faces. Note, that A_b denotes the surface area of a single base of our prism. h - the lateral edge length (also called the height of the prism).Let's start with the notation we use for them, and for the other values in our surface area of a rectangular prism calculator: To see what is the surface area of a rectangular prism, we need to know all three of its sides.
#Rectangular prism formula how to#
Time to put the high-brow words aside, and focus on how to find the surface area of a rectangular prism. Lastly, the sides of each rectangle are called edges (again divided into base edges and lateral edges). The bottom and top faces of the box are called bases, and each of the other four is called a lateral face. Note, that this, in particular, means that there are three pairs of identical faces, placed on opposite sides of the solid.Īlso, as with any other scientific definition, there are a few fancy names associated with the prism. Well, that is a rectangular prism! Or do you remember those drawings of houses that we did in kindergarten? Remove the angular roof, and you're left with another example of a rectangular prism.įormally (mathematically), a right rectangular prism is a solid where all six sides are rectangles that are perpendicular to one another. A regular, rectangular box, just like the ones you see in the supermarket, full of whatever products. Before we see what the surface area of a rectangular prism is, we should get familiar with the prism itself.
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