![]() ![]() ![]() 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. 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. Consider a right triangular prism of height and whose triangular base has an area of square units. Let’s start plugging things into our formula. And the height of our triangular prism is 17 feet. Consider a right triangular prism of height and whose triangular base has an area of square units. And the area of the rectangular base is twice as much as the area of the triangle. Step 3: So, the volume of triangular prism is calculated as, V. ![]() Substitute the given value of base area and length in the formula. Step 2: We know that the volume of a triangular prism is equal to B × l. In this example, the base area of the prism is 100 sq. So we see, in our case, the base of our triangle is 10 feet and the height of our triangle is six feet. The volume of this rectangular prism equals the area of the base times the height of the prism. Step 1: Note the base area and length of the triangular 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. And the green portion represents the height. The volume is then the area of the base multiplied by the height. cylinder, hemisphere, square pyramid, rectangular prism, triangular prism, sphere. The volume of a triangular prism can be found by multiplying the base times the height, where the shaded pink portion represents the base. For triangles, multiply the base by the height and then divide by 2. ![]() To calculate the volume, all you have to do is find the area of one of the triangular bases and multiply it by the height of the prism.Determine the volume of the given triangular prism. Equilateral triangular prism (1) volume: V 3 4 a2h (2) surface area: S 3 2 a2+3ah E q u i l a t e r a l t r i a n g u l a r p r i s m ( 1) v o l u m e: V 3 4 a 2 h ( 2) s u r f a c e a r e a: S 3 2 a 2 + 3 a h.
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