luck6021 luck6021
  • 12-08-2018
  • Mathematics
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AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT?

AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT class=

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frika
frika frika
  • 12-08-2018

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

[tex] k=\dfrac{7}{5} [/tex].

The ratio between volumes of similar prisms is

[tex] \dfrac{V_{large}}{V_{small}}=k^3 [/tex].

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

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

Answer: 137.2 cub. m.

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