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aleksandr82 [10.1K]
3 years ago
8

AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

Two similar prisms have proportional dimensions. Find the ratio between lengths of these prisms:

k=\dfrac{7}{5}.

The ratio between volumes of similar prisms is

\dfrac{V_{large}}{V_{small}}=k^3.

If volume of small prism is 50 cub. m, then

\dfrac{V_{large}}{50}=(\dfrac{7}{5} )^3=\dfrac{343}{125},\\V_{large}=\dfrac{343\cdot 50}{125} =137.2cub. m.

Answer: 137.2 cub. m.

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