![]() Now, substitute the given values of length, breadth, and height in the formula. Step 2: We know that the surface area of a rectangular prism is equal to 2(lb + bh + lh) square units. In the given example, the length and breadth of the rectangular prism’s base are 10 units and 6 units, respectively, and its height is 15 units. Step 1: Note the dimensions of the given rectangular prism. Let us go through an example to understand the concept of calculating the surface area of a rectangular prism.Įxample: Calculate the surface area of a rectangular prism if its height is 15 units and the length and breadth of the base are 10 units and 6 units, respectively. How to Find Surface Area of a Rectangular Prism? So, the formula for calculating the total surface area of a right rectangular prism is given as below, Total Surface Area of a Prism (TSA) = LSA + 2 × Base Area The total surface area of a right rectangular prism is equal to the sum of the total areas of all its faces. Total Surface Area of a Rectangular Prism “ b ” is the breadth of the side of a base.“ l ” is the length of the side of a base.Role of Mahatma Gandhi in Freedom Struggle.The area of a regular pentagon is found by \(V=(\frac\times2\times1.5)=1. This formula isn’t common, so it’s okay if you need to look it up. We want to substitute in our formula for the area of a regular pentagon. Remember, with surface area, we are adding the areas of each face together, so we are only multiplying by two dimensions, which is why we square our units.įind the volume and surface area of this regular pentagonal prism. Remember, since we are multiplying by three dimensions, our units are cubed.Īgain, we are going to substitute in our formula for area of a rectangle, and we are also going to substitute in our formula for perimeter of a rectangle. When we multiply these out, this gives us \(364 m^3\). Since big B stands for area of the base, we are going to substitute in the formula for area of a rectangle, length times width. Examplesįind the volume and surface area of this rectangular prism. Now that we know what the formulas are, let’s look at a few example problems using them. The formula for the surface area of a prism is \(SA=2B+ph\), where B, again, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism. We see this in the formula for the area of a triangle, ½ bh. It is important that you capitalize this B because otherwise it simply means base. Notice that big B stands for area of the base. To find the volume of a prism, multiply the area of the prism’s base times its height. Now that we have gone over some of our key terms, let’s look at our two formulas. Remember, regular in terms of polygons means that each side of the polygon has the same length. The height of a prism is the length of an edge between the two bases.Īnd finally, I want to review the word regular. Height is important to distinguish because it is different than the height used in some of our area formulas. ![]() The other word that will come up regularly in our formulas is height. For example, if you have a hexagonal prism, the bases are the two hexagons on either end of the prism. The bases of a prism are the two unique sides that the prism is named for. The first word we need to define is base. Hi, and welcome to this video on finding the volume and surface area of a prism!īefore we jump into how to find the volume and surface area of a prism, let’s go over a few key terms that we will see in our formulas.
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