The formula for calculating the volume of a rectangular prism is volume = length × width × height. What Happens to the Volume of Rectangular Prism if the Length is Doubled and the Height is Reduced to One Half? Thus, we can say that the volume of the rectangular prism also gets doubled when its height is doubled. If its height is doubled, its volume will be l × w × (2h) = 2lwh = 2 × v. We know that the volume of a rectangular prism is the product of its three dimensions, that is, volume = length × width × height. What Happens to the Volume of Rectangular Prism if its Height is Doubled? Then, after substituting the values in the equation, we get 600 = 60 × height of the prism. For example, the volume of a prism is 600 cubic units and its base area is 60 square units. The height of a rectangular prism can be calculated if the volume of the prism is given using the same formula, Volume (V) = base area × height of the prism.
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How to Find the Height of a Rectangular Prism when the Volume of a Rectangular Prism is given?
Step 1: Identify the type of the base and find its area using a suitable formula (as explained in the previous section).The following steps are used to calculate the volume of a rectangular prism. How to Find the Volume of a Rectangular Prism?īefore calculating the volume of a rectangular prism using the formula, we need to make sure that all the dimensions are of the same units.
It should be noted that we can apply the same formula to calculate the volume of the prism, that is the rectangular prism volume formula, v = lwh, irrespective of the type of rectangular prism. Thus, the perpendicular drawn from the vertex of one base to the other base of the prism will be taken as its height.
In the case of an oblique rectangular prism, the bases are not perpendicular to the other faces.In the case of a right rectangular prism, the bases are perpendicular to the other faces.There are two types of rectangular prisms - right rectangular prisms and oblique prisms. It should be noted that the volume is measured in cubic units. To find the volume of the rectangular prism, we multiply the length, width, and height, that is the area of the base is multiplied by the height. Therefore, the formula for the volume of a rectangular prism is, volume of a rectangular prism (V) = l × w × h, where Therefore, another way to express this formula is by multiplying the length, width, and height of the prism and write the value in cubic units (cm 3, m 3, in 3, etc). This area is then multiplied by the height of the prism to get the volume of the prism. Since the base of a rectangular prism is a rectangle, its area will be l × w. The formula for the volume of a rectangular prism = base area × height of the prism.
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