Compare the dimensions of the prisms. How many times greater is the surface area of the green prism than the surface area of the blue prism?

The surface area of the green prism is 2.5 times greater than the surface area of the blue prism

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of a prism is equal to

where

B is the area of the base

P is the perimeter of the base

h is the height or length of the prism

step 1

Find the surface area of the green prism

we have that

substitute

step 2

Find the surface area of the blue prism

we have that

substitute

step 3

Divide the surface area of the green prism by the surface area of the blue prism

150/60=2.5

therefore

The surface area of the green prism is 2.5 times greater than the surface area of the blue prism

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

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