If the dimensions of a solid proportionally increase by a scale factor of , by what factor does the surface area increase?
If The Dimensions Of A Solid Proportionally Increase By A Scale Factor Of , By What Factor Does The Surface Area Increase?
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If The Dimensions Of A Solid Proportionally Increase By A Scale Factor Of , By What Factor Does The Surface Area Increase?. For instance, if a cube with a side length of 2 cm is scaled by a factor of 25 , its new side length will be 5 cm,. Get step by step solutions within seconds.
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Given the scale factor is $$\frac {5} {2}$$25 , we calculate $$\left (\frac {5} {2}\right)^ {2}$$(25 )2. When the dimensions of a solid are increased by a scale factor, the effect on the surface area is determined by the square of that scale factor. Scale factor is 1/2, so sa is multiplied by 1/4 and volume is multiplied by 1/8.
Learn How To Calculate The Surface Area Of A Solid When Its Dimensions Are Scaled By A Factor.
Given the scale factor is $$\frac {5} {2}$$25 , we calculate $$\left (\frac {5} {2}\right)^ {2}$$(25 )2. For instance, if a cube with a side length of 2 cm is scaled by a factor of 25 , its new side length will be 5 cm,. When the dimensions of a solid are increased by a scale factor, the effect on the surface area is determined by the square of that scale factor.
This Is Because The Surface Area.
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Scale Factor Is 1/2, So Sa Is Multiplied By 1/4 And Volume Is Multiplied By 1/8.
If the length, width, and height are all. Thus, the correct answer is that the surface area increases by a factor of 425. When the dimensions of a solid increase by a scale factor, the effect on the surface area can be calculated using the square of that scale factor.
The Answer Is 425, Which Is The Square Of The Scale Factor 5/2.
Learn how to calculate the surface area of a solid that is proportionally increased by a scale factor. See the instant answer, the full solution, and related videos on numerade. To determine by what factor the surface area of a solid increases when its dimensions increase proportionally by a scale factor, we need to understand the relationship between the.
