That’s our final answer: The volume of the given triangular prism equals 510 feet cubed. Using the formula we have, V (1/2) × b × h × l (1/2) × 5 × 7 × 8 5 × 7 × 4 140 cu. 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. In a simplified form, this formula is (base x height). You can calculate the area of the top and base triangles in a prism by using the formula 2 × (1/2 × base of the triangle × height of the triangle). For our base, our triangle, one-half times six times 10. The volume of a triangular prism is the product of the area of the base triangle (A) and the height of the prism (h). These steps are as follows: Step 1: Calculate the area of the top and base triangles in the prism. 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. Example 2: Find the base area of the triangular prism whose base triangle has the length of the sides a 3 units, b 4 units, and c 5 units. 'Volume equals pi times radius squared times height. The formula for the volume of a cylinder is: V x r2 x h. Answer: Base area of the given triangular prism 120 square units. Note that the radius is simply half the diameter. The volume of a triangular prism can be found by multiplying the base times the height, where the shaded pink portion represents the base. Base area of the given triangular prism 1/2 × Base length × Height of the base triangle 1/2 × 60 × 40 120 square units. Determine the volume of the given triangular prism.
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