It is: 3 to 2
12
12
Assuming the smaller sphere is the image of the larger sphere after transformation (based on the order of the radii): the scale factor is 4/12 = 1/3
It is: 21/12 = 7/4
It is: 2 to 3
12
It is: 2 to 3
Multiply each dimension by the scale factor:9 x 12 → (9 x 2.5) x (12 x 2.5) = 22.5 x 30
Tautologically!
You increase the scale factor.
The area scale factor is the square of the side length scale factor.
To find the scale factor, first convert the actual length from feet to inches since the drawing's measurement is in inches. There are 12 inches in a foot, so 8 feet is equal to 96 inches (8 feet × 12 inches/foot). The scale factor is then calculated by dividing the drawing length by the actual length: ( \text{Scale Factor} = \frac{4 \text{ inches}}{96 \text{ inches}} = \frac{1}{24} ). Thus, the scale factor is 1:24.