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romanna [79]
2 years ago
14

If the ratio of the surface areas of two similar geometrical solids is given by 121:36, what is the

Mathematics
1 answer:
BigorU [14]2 years ago
6 0

Answer:

1331:216

Step-by-step explanation:

Given the ratio of the lengths of two similar solids as a:b

The ratio of the surface areas = a^2:b^2

The ratio of the volume = a^3:b^3

We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36

Therefore:

a^2:b^2=121:36\\\implies a^2:b^2=11^2:6^2\\\implies a:b=11:6

Since the ratio of the lengths is 11:6

The ratio of their volumes = 11^3:6^3

=1331:216

The ratio of the volume of the two similar geometrical solids is 1331:126.

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