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Mathematics 13 Online
OpenStudy (anonymous):

how do i find the height of the triangular prism

OpenStudy (jdoe0001):

got picture? *** shamelessly taken from "got milk" ***

OpenStudy (anonymous):

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OpenStudy (anonymous):

Method 2 of 2: Finding the Height of a Triangular Prism 1Know the formula for the volume of a triangular prism. Again, the basic formula is V = Ah, or volume equals the area of the base times the height. However, the formula for the area of a triangle is A = 1/2 ab, where a is the distance from 1 of the triangle's vertices to its opposite side, and b is the length of that side (its base). By substituting this into the equation for A, the formula for the volume of a triangular prism is V = 1/2 abh. You may be more familiar with the triangle area formula as A = 1/2 bh, where b is the base of the triangle, and h refers to its height. Because we're using the terms "base" and "height" in this article for a 3-dimensional image, and using "h" to represent the height of the prism, we're using "a" in place of "h" to represent the distance from a vertex to the side opposite it (the height of the triangle). 2Rewrite the formula to find the height. In this case, we divide both sides of the equation by 1/2 ab, making V/(1/2 ab) = (1/2 abh)/(1/2 ab). This makes the formula h = V/(1/2 ab), but because dividing by 1/2 is the same as multiplying by 2, we can simplify the formula to h = 2V/ab. 3Obtain the values for the volume (V), distance from the triangle vertex to the opposite side (a), and length of the opposite side (b). For this example, we'll use a volume (V) of 840 cubic units, a distance (a) of 12 units, and a length (b) of 7 units. 4Find the product of a and b. Multiplying 12 by 7 gives a product of 84. 5Divide this product into twice the volume. Multiplying 840 by 2 equals 1680; dividing by 84 gives a value of 20 units for h.

OpenStudy (anonymous):

follow it correct

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