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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
How many 1 foot square tiles will be needed to cover a rectangular floor area that is 750 feet?
It should take about 825 1 foot square tiles to cover a floor with those dimensions. This assumes roughly a 10% waste factor.
When the sides of a polygon are tripled in length the perimeter increases by a factor of and the area increases by a factor of?
Perimeter is proportional to the linear dimensions, so it increases by 3x .Area is proportional to (linear dimensions)2, so it increases by 9x .
If the volume of a ube is increased by factor of 8 what is the change in the length of the sides of the cube?
It is doubled.
When you triple the dimensions of a figure how does this affect the area of the figure?
If you triple the length and width (or base and height) of a figure, you will be multiplying the factor of three by itself, so the area increases by 3 squared, or 9. So a figure with an area of 12 will have an area of 108 when you triple its dimensions. This holds true for circles as well, since radius squared is used for area, the 3 squared factor still applies. (:
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
If the dimensions of a figure are increased by a factor of 7 By what factor does the volume change?
if all 3 dimensions increase b factor of 7 then volume changes by 7 cubed or a factor of 343
Suppose the dimensions of a rectangular prism are enlarged by a scale factor of three by what scale factor will the volume of the prism be scaled?
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.
If a rectangular dimensions ge multiplied by 4 what does the perimeter get multiplied by?
The perimeter correspondingly increases by a factor of 4.
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.
When all dimensions are tripled what happens to the volume?
If linear dimensions are increased by a certain factor, the volume will increase by that same factor, raised to the third power - so, in this case, 3 to the power 3.
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
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 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).
Two rectangular prisms are similar the measures of two corresponding sides are 3cm and 5 cm what is the ratio of the surface areas of the prisms?
The length scale factor = 5/3 So the area scale factor is (5/3)2 = 25/9
A triangle is dilated with a scale factor of 2 If the area of the original triangle is 9 square inches what is the area of the image in square inches?
Area is proportional to the square of the linear dimensions. If the linear dimensions are doubled, the area is increased by a factor of 22 = 4. The new area is 9 x 4 = 36 square inches.
