Find the similarity ratio of a prism with a surface area of 36 cm² to a similar prism with a surface area of 400 cm?
a 10: 3
b. 27: 1,000
c 3.10
d. 1,000: 27
select the best answer from the choices provided

  C.  3:10

Step-by-step explanation:

The similarity ratio is the square root of the ratio of areas:

  area ratio = 36 : 400

  similarity ratio = √36 : √400 = 6 : 20 = 3 : 10

C. 3.10

Step-by-step explanation:

The similarity ratio of a prism with a surface area of 36 cm² to a similar prism with a surface area of 400 cm is 3.10.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.