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#Formula of a volume of a triangular prism full#
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We must always take care of the units of measurement in mathematics. In the case of a triangular prism, the base area is the area of the triangular base, which can be calculated using Heron’s formula (if the lengths of the sides of the triangle are known) or by using the standard area of a triangle formula (if the lengths of a side of the triangle and its corresponding altitude are known). In this case, 6 x 4 x 1/3 = 8, which means the pyramid has a volume of 8 cubic centimeters.The volume of any prism is equal to the product of its cross section (base) area and its height (length). Next, multiply the area by the height of the pyramid, then multiply the product by 1/3. First, find the area of the triangle using the formula ½ x 2 x 4, which will give you a base area of 4 square centimeters. For example, say your pyramid has a base that’s a triangle with a base width of 2 cm and a height of 4 cm, and the pyramid has a height of 6 cm. From there, you can use the same formula that you used for the square-based pyramid. If you know the triangle’s height and the width of its base, plug those numbers into the formula ½ x b (base) x h (height) to find the area of the triangle. For pyramids with a triangular base, the technique is a little different. In this case, the pyramid has a volume of 12 cubic inches. Since you’re describing the volume of a 3-dimensional object, remember to write your answer in cubic units. For instance, if your pyramid has a square base that is 3 inches long by 3 inches wide, and a height of 4 inches, the volume would be (3 x 3 x 4)/3, or 12. Then, multiply the area of the base by the height of the pyramid, and multiply the result by 1/3-which is the same as dividing by 3. If the pyramid has a square or rectangular base, simply multiply the width of the base by its length to find the area. Once you have that information, you can find the volume using the formula V (volume) = 1/3 x Ab (the area of the base) x h (height). To calculate the volume of a pyramid, you need to know its height and the area of the base.
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