The area changes by the square of the same factor.
The perimeter, being a linear measure, also changes by a factor of 3.
The surface area is reduced by a factor 4, the volume by a factor 8.
If it is a 2-dimensional figure then it is proportional.
The absolute value of the perimeter doesn't change, only the unit value which increases by a factor of 3.
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.
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
The perimeter, being a linear measure, also changes by a factor of 3.
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.
The surface area is reduced by a factor 4, the volume by a factor 8.
The surface area increase by a factor of 49.
If it is a 2-dimensional figure then it is proportional.
Nothing. The cylinder's surface area does not have a GCF.
if all 3 dimensions increase b factor of 7 then volume changes by 7 cubed or a factor of 343
The absolute value of the perimeter doesn't change, only the unit value which increases by a factor of 3.
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.
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.
# is the ratio of the demensions in the drawing to the corresponding actual dimensions. The scale factor for a scale drawing is the ratio of the dimensions in the drawing to the corresponding acual bimensions.