That’s our final answer: The volume of the given triangular prism equals 510 feet cubed. The volume of the prism is the area of the cross-section multiplied by its length. 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. Apply the formulas V l w h and V b h to find volumes of right rectangular prisms 5. For our base, our triangle, one-half times six times 10. The 3D Geometry calculator has formulas for volumes and surface areas of. Let’s start plugging things into our formula. Volume of a Triangular Prism (V) 1/2bhl Side (s) ( (b/2)2 + h2). 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.
Example 2: The triangular end of a triangular prism has a base of 5 m and height 6 m. 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 of a triangular prism 1 2 × ( b × h) × l Formula for the volume of a triangular prism V 1 2 × ( 6 × 5) × 10 Substitute 6 for b, 5 for h, and 10 for l Volume (V) 150 c m 3 Evaluate Hence, the volume of the triangular prism is 150 c m 3. And the green portion represents the height. 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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