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When the dimensions of a rectangular prism are enlarged by a scale factor of three, the volume is scaled by the cube of that factor. Therefore, the volume will be scaled by a factor of (3^3), which equals 27. This means the new volume will be 27 times the original volume.

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1mo ago

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What is 9 enlarged by a factor of a number?

9 enlarged by a factor of a number is 9*y


How many rectangular prism can you make with 50 cubes?

To determine how many rectangular prisms can be made with 50 cubes, we need to find combinations of dimensions (l), (w), and (h) such that (l \times w \times h = 50). The possible sets of dimensions must be positive integers and can include various factor combinations of 50. After listing all factor combinations, we can identify the distinct rectangular prisms that can be formed, accounting for different arrangements of the same dimensions. The total number of unique rectangular prisms that can be formed will depend on the unique sets of factors of 50.


What is the scale factor that doubles the size of a figure is?

The scale factor that doubles the size of a figure is 2. When a figure is enlarged by a scale factor of 2, all its dimensions—such as length, width, and height—are multiplied by 2, resulting in a figure that has four times the area and eight times the volume of the original.


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


What are examples of scale factor?

Scale factors are numerical values that describe how much a shape or object is enlarged or reduced in size. For instance, if a rectangle with dimensions 2 cm by 3 cm is scaled up by a factor of 2, its new dimensions will be 4 cm by 6 cm. In another example, if a model of a car is created at a scale factor of 1:18, it means the model is 18 times smaller than the actual car. Scale factors can also be applied in maps or blueprints, where distances are proportionally reduced or enlarged for practical use.

Related Questions

The constant amount by which the dimensions of an object are enlarged or reduced is called?

Scale factor


If a rectangular dimensions ge multiplied by 4 what does the perimeter get multiplied by?

The perimeter correspondingly increases by a factor of 4.


What is 9 enlarged by a factor of a number?

9 enlarged by a factor of a number is 9*y


How many rectangular prism can you make with 50 cubes?

To determine how many rectangular prisms can be made with 50 cubes, we need to find combinations of dimensions (l), (w), and (h) such that (l \times w \times h = 50). The possible sets of dimensions must be positive integers and can include various factor combinations of 50. After listing all factor combinations, we can identify the distinct rectangular prisms that can be formed, accounting for different arrangements of the same dimensions. The total number of unique rectangular prisms that can be formed will depend on the unique sets of factors of 50.


The multiplying factor when a shape is enlarged?

When a shape is enlarged the multiplying factor is greater than 1. Example : A factor of 7 means that a length of 1cm on the original shape would be represented by a length of 7cm on the enlarged shape.


What is the scale factor that doubles the size of a figure is?

The scale factor that doubles the size of a figure is 2. When a figure is enlarged by a scale factor of 2, all its dimensions—such as length, width, and height—are multiplied by 2, resulting in a figure that has four times the area and eight times the volume of the original.


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


A rectangular field that measures 15 ft by 20 ft must be increased by a scale factor of 1.8 The new dimensions of the field t by 36 ft be f?

27


Lorraine is making campaing postersthe original poster is 24 inches long by 18inches wideshe wants to enlarge the poster by a scale factor 1.75what are the dimensions of the enlarged poster?

42 x 31.5


What are examples of scale factor?

Scale factors are numerical values that describe how much a shape or object is enlarged or reduced in size. For instance, if a rectangle with dimensions 2 cm by 3 cm is scaled up by a factor of 2, its new dimensions will be 4 cm by 6 cm. In another example, if a model of a car is created at a scale factor of 1:18, it means the model is 18 times smaller than the actual car. Scale factors can also be applied in maps or blueprints, where distances are proportionally reduced or enlarged for practical use.


What are the rectangular arrays for 64?

Rectangular arrays for 64 can be formed by finding pairs of factors that multiply to 64. The factor pairs are: (1, 64), (2, 32), (4, 16), (8, 8). These pairs represent the dimensions of the rectangular arrays, such as a 1x64 array, a 2x32 array, a 4x16 array, and a 8x8 array.


If the dimension of the rectangular prism are quadrupled the surface area will increase 8 times true or false?

False. If the dimensions of a rectangular prism are quadrupled, the surface area will increase by a factor of 16, not 8. This is because surface area is proportional to the square of the dimensions, so if each dimension is multiplied by 4, the surface area increases by (4^2 = 16).