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. And 30 times 17 equals 510.īut we’re not finished here because we need to decide what to do with our units. ![]() When you have the area of the triangle, then multiply the area of the triangle by the height of the prism, not the height of the base. Then we multiply the area of our base by the height of our prism, 17 feet. Formula for volume of triangular prism To find the volume of a triangular prism, find the area of one of the triangles (base of the prism) first (base x height divided by 2). For our base, our triangle, one-half times six times 10. Let’s start plugging things into our formula. Given the length, width, and height of a triangular prism, the task is to find the volume of the triangular prism. Calculate the area of the triangular cross-section and substitute the values. 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. Step 1: Determine the base area and the height of the prism. 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. Thus, we follow the below steps to find the volume of equilateral triangular prism. And the green portion represents the height. The volume is then the area of the base multiplied by the height. ![]() The length of the rectangle is 9 cm and the width is 7 cm. The volume of a triangular prism can be found by multiplying the base times the height, where the shaded pink portion represents the base. The formula for the volume of a prism is VBh, where B is the base area and h is the height. Determine the volume of the given triangular prism.
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