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If all the sides of a prism are multiplied by 8 by what factor does the volume increase?
If all the sides of a prism are multiplied by a factor of 8, the volume increases by a factor of (8^3) (since volume is a three-dimensional measure). This means the volume increases by a factor of 512. Therefore, if the original volume is (V), the new volume will be (512V).
How many times greater is the volume compared to the orgianl prism?
To determine how many times greater the volume of a new prism is compared to the original prism, you need to divide the volume of the new prism by the volume of the original prism. This ratio will give you the factor by which the volume has increased. For example, if the new prism has a volume of 120 cubic units and the original prism has a volume of 30 cubic units, the new prism's volume is 4 times greater.
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.
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.
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?
The volume of prism A can be calculated by applying the scale factor A to the volume of prism B. Since the scale factor A is 1, the volume of prism A is also 1000 cubic feet.
If all the sides of a prism are multiplied by 8 by what factor does the volume increase?
If all the sides of a prism are multiplied by a factor of 8, the volume increases by a factor of (8^3) (since volume is a three-dimensional measure). This means the volume increases by a factor of 512. Therefore, if the original volume is (V), the new volume will be (512V).
Is prism similar to each other?
Yes, a prism is similar to each other.
How many times greater is the volume compared to the orgianl prism?
To determine how many times greater the volume of a new prism is compared to the original prism, you need to divide the volume of the new prism by the volume of the original prism. This ratio will give you the factor by which the volume has increased. For example, if the new prism has a volume of 120 cubic units and the original prism has a volume of 30 cubic units, the new prism's volume is 4 times greater.
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.
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.
