Question

Compare the dimensions of the prisims. How many time greather is the surface area of the red prism than the surface area of the blue prism
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Answer 1

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