Answer:
Step-by-step explanation:
To get from blue to red you need to multiply the blue dimensions by 1.5.
4*x = 6 Divide by 4
x = 6/4
x = 1.5
The surface area is a different ball game.
SA of the blue figure
Surface area of 1 side = 4 * 4 = 16
The total surface area = 16* 6 = 96
SA of the red figure
Surface area of 1 face = 6*6
Surface area of 6 faces = 6 * 36 = 216
So what's the ratio ?
Ratio = red surface area/ blue surface area
Ratio = 216 / 96 = 2.25
Notice that if you square the dimensional ratio, you get the area ratio
1.5^2 = 2.25
48:64
3+4 = 7
112/7 = 16
16 * 3 = 48
16 * 4 = 64
If there are no answer choices, I'll give you a few to work with:
16:52 (divide each number by 3 to get this)
8:26 (divide the above by 2, both sides)
4:13 (divide the above by 2, both sides)
96:312 (multiply the original by 2, both sides)
I think you get the gist.
~Hope this helps!
