Multiplying this area by the bottle’s height of 3 inches, we get a total volume of 15 cubic inches.For bottle B, we found an area of 3 sq. The last step in finding our volume for each bottle of perfume is to multiply the area of the triangular base by the height of the prism.For bottle A, we found an area of 5 sq. Plugging this into our formula for area, we get:Area = 1/2 b x hArea = 1/2 x (3) x (2)Area = 3 sq. Looking at our dimensions for bottle B, we see that the triangle has a base of 3 inches and height of 2 inches. in.Don’t forget, area is always measured in square units. Plugging this into our formula for area, we get:Area = 1/2 b x hArea = 1/2 x (5) x (2)Area = 5 sq. Not too stressful anymore, right?Remembering back to our formula for the area of a triangle, we know that:Area = 1/2 b x hWe can use this formula to then find the area of the triangular bases on each perfume bottle.Looking at the dimensions for bottle A, we see that the triangle has a base of 5 inches and height of 2 inches. So in reality, there really aren’t any new formulas you have to mess with. However, a triangular prism is actually very simple to work with! To find its volume, all you need is the area of the triangular base and the height of the prism. When it comes to finding the volume of any prism, you might get a little worried over memorizing all of the various formulas and measurements that go along with each. Formula: Volume of a Triangular PrismĪfter carefully measuring each bottle of perfume I found the following dimensions.Įach triangular face is labeled in red and the height of the prisms themselves are labeled in blue. In the case of my Mother’s Day present, I was left with the task of finding the volume of each triangular prism to determine which bottle would give me the most bang for my buck. This is called a triangular prism.Ī triangular prism is simply a 3D shape that has two triangular bases and three rectangular sides. Now, you might notice that both bottles are in an unusual shape. * All Partners were chosen among 50+ writing services by our Customer Satisfaction TeamĪfter shopping around, I was left with the following two options at the exact same price.
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