![]() ![]() That’s our final answer: The volume of the given triangular prism equals 510 feet cubed. When we multiply feet by feet by feet and when we’re discussing volume, we know that our units will be cubed. The volume of a triangular prism is equal to the product of the base’s area and the prism’s height, also known as the length of the prism. Learn how to calculate the surface area of a triangular prism using a formula that combines the areas of the base triangle and the three rectangular faces. Knowing the base area and height of a triangular prism is all that is required to calculate its volume. And 30 times 17 equals 510.īut we’re not finished here because we need to decide what to do with our units. A triangular prism’s volume is defined as the space inside it or the space filled by it. Then we multiply the area of our base by the height of our prism, 17 feet. For our base, our triangle, one-half times six times 10. See examples, diagrams, and a lesson with practice problems. Let’s start plugging things into our formula. Learn how to calculate the surface area of a triangular prism using a formula that combines the areas of the base triangle and the three rectangular faces. ![]() ![]() And the height of our triangular prism is 17 feet. So we see, in our case, the base of our triangle is 10 feet and the height of our triangle is six feet. It’s the distance from one base to the other.Īnd how do we go about finding the area of the base? Well, like any triangle, we multiply one-half, the base of that triangle, times the height of that triangle. Volume pyramid 1 3 ( base area) ( height) We also measure the height of a pyramid perpendicularly to the plane of its base. Let us learn about them in detail along with the formula. And the green portion represents the height. There are two important formulae of a triangular prism which are surface area and volume of triangular prism. The volume is then the area of the base multiplied by the height. The volume of a triangular prism can be found by multiplying the base times the height, where the shaded pink portion represents the base. Determine the volume of the given triangular prism. ![]()
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