The ratio of the surface areas of two similar solids is 25:121. What is the ratio of their corresponding side lengths? A. 5:11 B

Question

2 years ago

15

.1 :96 C. 11/25:11 D. 5:121/5

2 answers:

Pavel [41] · Answer 1 · 2022-05-01T03:23:12+03:00

Pavel [41]2 years ago

6 0

5:11 ~~~~~~~~~~~~~~~~ APEX

nasty-shy [4] · Answer 2 · 2022-05-01T05:25:32+03:00

Answer:

A.5:11

Step-by-step explanation:

We are given that ratio of areas of two similar solids is 25: 121.

We have to find the ratio of their side lengths.

We know that surface area of cube= $6a^2$

Let x and y be the side of small and large solid

Then, $\frac{Surface\;area\;of\;small\;solid}{surface\;area\;of\;large\;solid}=\frac{6x^2}{6y^2}=\frac{25}{121}$

$\frac{x^2}{y^2}=\frac{5^2}{11^2}$

$(\frac{x}{y})^2=(\frac{5}{11})^2$

Cancel both side square then, we get

$\frac{x}{y}=\frac{5}{11}$

Hence, the ratio of their side length is 5:11.

Answer:A. 5:11