![]() 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. Let’s start plugging things into our formula. 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. And the green portion represents the height. The volume is then the area of the base multiplied by the height. Triangular Prism Surface Area Formula The formula for finding the surface area of a triangular prism is given as: A bh + L (s1 + s2 + s3) Where A is the surface area, b is the bottom edge of the base triangle, h is the height of the base triangle, L is the length of the prism, and s1, s2, and s3 are the three edges of the base triangle. Important Notes The volume of any prism depends on the shape of its base. Given that: B 3 square inches, H 7 inches Thus, the Volume of the prism, V B × H V 3 × 7 21 in 3 Therefore, the volume of the prism is 21 cubic inches. The volume of a triangular prism can be found by multiplying the base times the height, where the shaded pink portion represents the base. Solution: As we know, the volume of the prism is V B × H. However, there are specific formulas to calculate the. Determine the volume of the given triangular prism. Volume (V) Base Area × Height, here, the height of any prism is the distance between the two bases.
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