It resembles a cube, but it is not a cube. What is a Rectangular Prism also Known as?Ī rectangular prism is also known as a cuboid. A few real-life examples of a rectangular prism include rectangular fish tanks, shoe boxes, etc. It has 8 vertices, 6 faces, and 12 edges. We will see the applications of these volume and surface area formulas of a rectangular prism in the section of Rectangular Prism Examples given below.įAQs on Rectangular Prism What is a Rectangular Prism?Ī rectangular prism is a 3-d solid shape that has 6 rectangular faces in which all the pairs of opposite faces are congruent. The lateral surface area (LSA) of a rectangular prism The total surface area (TSA) of a rectangular prism We can calculate the areas of the side faces of a rectangular prism using its net. The lateral surface area of a rectangular prism is the sum of the areas of all its side faces (excluding the bases).The total surface area of a rectangular prism is the sum of the areas of all of its faces.There are two types of surface areas of a rectangular prism, one is the total surface area (TSA) and the other is the lateral surface area (LSA). Thus, the volume of the rectangular prism, V = lw × h = lwh. The height of the rectangular prism = h.The base area of the rectangular prism = lw (using the area of a rectangle formula).We know that the volume of any prism is obtained by multiplying its base area by its height. The volume of a rectangular prism is the space that is inside it. Here are the formulas for the volume and surface area of a rectangular prism. Along these dimensions, let us assume that 'l' and 'w' are the dimensions of the base. For both of these, let us consider a rectangular prism of length 'l', width 'w', and height 'h'. In this section, we will learn the formulas of the volume and surface area of a rectangular prism. The opposite faces of a rectangular prism are congruent.It has 3 dimensions which are length, width, and height.In a right rectangular prism, the faces are rectangles, whereas, in an oblique rectangular prism, the faces are parallelograms.A rectangular prism has 6 faces, 8 vertices, and 12 edges.The properties of a rectangular prism are given below which help us to identify it easily. In general, a rectangular prism without any specifications is a right rectangular prism. In other words, the faces in this prism are parallelograms. Oblique rectangular prism: In an oblique rectangular prism, the faces are not perpendicular to the bases.Right rectangular prism: In a right rectangular prism, the faces are perpendicular to each of its bases.There are two types of rectangular prisms that are classified depending on the shape of the faces or the angle made by the faces with the base. In the 12 edges, 3 edges intersect to form right angles at each vertex. The following figure shows a rectangular prism and its net, which is a two-dimensional representation of the prism when its faces are opened on a 2D plane.įaces Edges Vertices of a Rectangular PrismĪ rectangular prism has 6 faces, 12 edges (sides) and 8 vertices (corners). Some examples of a rectangular prism in real life are rectangular tissue boxes, school notebooks, laptops, fish tanks, large structures such as cargo containers, rooms, storage sheds, etc. It has three dimensions, length, width, and height. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. The corresponding edges on the opposite sides will be the same since this is a rectangular prism.A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. Here we can see our prism is 10 meters long by 5 meters wide by 4 meters high. We’ll just know the dimensions of the rectangular prism, like this: This problem lets us see the square centimeters, but most surface area problems won’t show us the squares. Each one of these cubes is 1 cubic centimeter, which can also be written like this \(1\text^2\). Imagine that we have a bunch of little cubes that are 1 centimeter tall, 1 centimeter wide, and 1 centimeter long. It’s easy to picture this with a rectangular prism. We measure this in cubic units, such as cubic inches or cubic centimeters. The volume of a prism or any other 3D object is a measure of how much space it takes up. It has 12 edges and eight vertices and all of its angles are right angles.Īn important measure of a rectangular prism is the volume. But before we do that, we need to define a few terms.Ī rectangular prism, or rectangular solid, is a 6-sided object where each side, also called a face, is a rectangle. Like with most 3D figures, we can calculate the volume and the surface area by using relatively simple formulas. Hello! Today we’re going to examine the most common of 3D figures, the rectangular prism, also known as a rectangular solid.
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