4/2/2023 0 Comments Rectangular prism volume![]() This video includes key concepts, notation, and vocabulary such as: area of base (the base of a rectangular prism is an arbitrarily chosen rectangular face) Learn how to use the area of base to find the volume of a rectangular prism by helping Rocky fit all of his stones in storage! It concludes with a new formula for finding the volume of a rectangular prism, V=Bh, where B is the area of the base. ![]() It leads to calculating the volume of rectangular prisms with the same area of base and different heights. The lesson begins with the formula for a rectangular prism, V=lwh. This change in the base area of the prism changes the volume of the prism.After this lesson you will be able to develop and use the formula V=Bh. 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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