![]() We know that the general formula to calculate the lateral surface area of a prism is the product of its base and height. Let us consider a hexagonal prism that has an apothem length “a”, a base length “s”, and a height “h”. A hexagonal prism has two types of areas just like other three-dimensional shapes: lateral surface area (LSA) and total surface area (TSA). The surface area of a prism is measured in terms of square units such as sq. The total area that is covered by the surfaces of a hexagonal prism is referred to as its surface area. All the sides of the base do not have the same length, and the measures of each angle are different. An irregular hexagonal prism is a prism that has two irregular hexagonal bases.In a regular hexagonal prism, the angles also measure the same. A regular hexagonal prism is a prism that has two hexagonal bases whose all sides are of the same length.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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