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What units are used for measuring surface area? Square units (like square feet or square meters) are used for measuring surface area.Why is it important to calculate the surface area? Surface area calculations are important in various fields such as construction, design, and manufacturing.Can I use this formula for all prisms? No, this formula is specific to triangular prisms.What is the formula for calculating surface area? The formula for calculating the surface area of a triangular prism is bh + (s1 + s2 + s3)l.How do I calculate the surface area of a triangular prism? Use the formula bh + (s1 + s2 + s3)l.What is a triangular prism? A triangular prism is a three-dimensional shape with two identical triangular ends and three rectangular sides.Complex Shapes: This formula is for regular triangular prisms.Accuracy of Measurements: The accuracy of the surface area calculation depends on the accuracy of the measurements.Categories of Surface Area Calculations Range (square feet)Įvolution of Surface Area Calculations Time Period Where b is the area of the base, h is the height of the triangle, s1, s2, and s3 are the sides of the triangle, and l is the length of the prism. The formula to calculate the surface area of a triangular prism is as follows: Surface Area = bh + (s1 + s2 + s3)l Categories of Surface Area Calculations.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 \(364 m^3\).
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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.
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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.