![]() ![]() ![]() 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). This change in the base area of the prism changes the volume of the prism.The volume of any prism is equal to the product of its cross section (base) area and its height (length). As the type of prism changes, the base of the prism changes thereby changing the base area of the prism. The volume of the prism depends on the base area of the prism. How Does the Volume of Prism Change if the Type of Prism Changes? Thus, V = (2B) × (2H) = 4 (B × H) which is four times the original volume of the prism. The volume of the prism will quadruple the original volume if the base area and height of the prism are doubled as, radius, "B" is substituted by 2B, and height, "H" is substituted by 2H. What Happens to the Volume of Prism When the Base Area and Height are Doubled? Thus, the volume of the prism doubles if the base area of the prism is doubled as "B" is substituted by "2B" as V = (2B) × H = 2 (B × H) which is double the original volume of the prism. The volume of the prism depends on the base radius of the prism. What Happens to the Volume of Prism if the Base Area of Prism is Doubled? ![]()
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