![]() 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. Now, let us discuss the volume of the different prism formulas, such as the volume of the triangular prism, rectangular prism, pentagonal prism, and so on. The measurement unit used to represent the volume of a three-dimensional object is cubic units. And 30 times 17 equals 510.īut we’re not finished here because we need to decide what to do with our units. The volume of a Prism Base Area × Length. 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. Let’s start plugging things into our formula. The volume of a triangular prism is the product of its triangular base area and the length of the prism. And the height of our triangular prism is 17 feet. There are two important formulas for a triangular prism, which are surface area and volume. 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. And the green portion represents the height. To calculate the volume of a prism, the formula is given. The volume is then the area of the base multiplied by the height. The volume of a triangular prism is equivalent to the triangular base area and the height of the prism. 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. To calculate the volume of a triangular prism, find the area of the triangular cross-section and multiply it by the length of the prism (or height of the prism).
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