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alisha [4.7K]
3 years ago
15

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

.1 :96 C. 11/25:11 D. 5:121/5
Mathematics
2 answers:
Pavel [41]3 years ago
6 0

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

nasty-shy [4]3 years ago
6 0

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

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