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What happens to surface area when dimensions are changed by a scale factor?
Wiki User
∙ 11y ago
The area changes by the square of the same factor.
Wiki User
∙ 11y ago
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How does the perimeter change when the dimensions are changed by a scale factor of 3?
The perimeter, being a linear measure, also changes by a factor of 3.
What happens to the Surface Area and Volume of a pyramid if the radius and height are divided by 2?
The surface area is reduced by a factor 4, the volume by a factor 8.
When both dimensions of a figure are changed using the same scale factor is the change proportional or non proportional?
If it is a 2-dimensional figure then it is proportional.
What is the surface area of the box 61 squared inches What is the surface area of the box if it is scaled up by a factor of 10?
The squared area of the box, from the question itself, is 61 square inches. Scaling up the linear dimensions by a factor of 10 will make the area 6100 square inches.
How does the perimeter of a figure change if the dimensions are changed from yards o feet?
The absolute value of the perimeter doesn't change, only the unit value which increases by a factor of 3.
When the volume and the surface area of a cylinder with radius R units and height H units. Now assume that the dimensions of the cylinder are tripled- In that case what would be the dimensions of the?
Volume = area circular end × height = πR²H units³ Surface area = 2 × area of circular end + area of curved side = 2πR² + 2πRH units² = 2πR(R + H) units² If lengths are changed by a scale factor of n, areas are changed by a scale factor of n² and volumes are changed by a scale factor of n³. If the dimensions are tripled, the new volume is 3³πR²H units³ = 27πR²H units³ The new surface area is 3²×2πR(R + H) units² = 18πR(R + H) units²
How does the perimeter change when the dimensions are changed by a scale factor of 3?
The perimeter, being a linear measure, also changes by a factor of 3.
What happens to the Surface Area and Volume of a pyramid if the radius and height are divided by 2?
The surface area is reduced by a factor 4, the volume by a factor 8.
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.
What happens to the Surface Area of a cube if each edge is multiplied by 7?
The surface area increase by a factor of 49.
When both dimensions of a figure are changed using the same scale factor is the change proportional or non proportional?
If it is a 2-dimensional figure then it is proportional.
What happens to the greatest common factor of the cylinders' surface area if its radius is squared?
Nothing. The cylinder's surface area does not have a GCF.
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
What is the surface area of the box 61 squared inches What is the surface area of the box if it is scaled up by a factor of 10?
The squared area of the box, from the question itself, is 61 square inches. Scaling up the linear dimensions by a factor of 10 will make the area 6100 square inches.
How does the perimeter of a figure change if the dimensions are changed from yards o feet?
The absolute value of the perimeter doesn't change, only the unit value which increases by a factor of 3.
The factor in an experiment that is changed on purpose?
the factor an experiment that is changed on purpose
Which change will triple the lateral surface area of a cone?
Any area is proportional to the square of its linear dimensions. So, in order to triple the surface area of a cone, you would have to multiply its radius and height each by sqrt(3) = 1.732 (rounded). It could be done by increasing only the radius, or only the height, but then the proper factor would depend on the other dimension that isn't being changed.
