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The ratio of the volumes of similar solids is (the ratio of their linear dimensions)3 .

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Q: How do you find the volume of a similar prism with only the scale factor and volume of the other prism?
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Two rectangular prisms are similar with a scale factor A and B of 1 and5 Find the volume of prism A given that the volume of prism B is 1000 cubic feet?

200 cubic feet


How do you find the volume of a rectangular prism relates to the volume of a tringular prism if the two have the same lengthwidthand height?

The volume of a rectangular prism is found by; Volume = Length x Width x Height The volume of a triangular prism is found by; Volume = 1/2 x Length x Width x Height Therefore, Length, Width and Height being identical, 1) the volume of a rectangular prism is twice that of a similar triangular prism OR 2) the colume of a triangular prism is half that of a similar rectangular prism.


Is prism similar to each other?

Yes, a prism is similar to each other.


What would happen to the volume of a rectangular prism if its side lengths were doubled?

The volume would increase by a factor of 23 = 8


How much will the volume of a rectangular prism increase if its length width and height are doubled?

Because the volume of a rectangular prism is the product of its length, width, and height, if these linear measures are doubled, the volume will increase by a factor of 23 = 8.


What is the volume of the larger of two similar rectangular prisms if the smaller prism has a volume of 24 cu cm and a base of 4 cm while the larger prism has a base of 12 cm?

As the two prisms are similar there are ratios between them. The ratio of the lengths is 4 : 12 = 1 : 3 The ratio of volumes is the cubs of the ratio of lengths. → The volumes are in the ratio of 1³ : 3² = 1 : 27 As the a smaller prism has a volume of 24 cm³, the larger prism has a volume 27 times larger → volume larger prism = 27 × 24 cm³ = 648 cm³


The surface areas of two similar hexagonal prisms are 882 and1058 What is the scale factor of the smaller prism to the larger prism?

It is 21/23.


How do the dimensions and volume of similar rectangular prisms compare?

If the ratio of the dimensions of the larger prism to the smaller prism is r then the ratio of their volumes is r^3.


How do you find the volume of a rectangluar prism?

Volume of a Rectangular Prism The volume of a rectangular prism can be found by the formula: volume=length*width*height


How does the volume of a prism compare to the volume of the pyramid with the same base and height?

The volume of the prism is three times as much as that of the prism.


Is Prism and Pyramid similar?

They are similar in the sense that they both have bases. However, they are not similar in many other ways.


Suppose that each dimension of a prism is increased by ten percent by what percent does its volume increase?

When linear dimensions are increased by a factor of 'N', area increasesby the factor of N2 and volume increases by the factor of N3.(1.10)3 = 1.331 = 33.1% increase