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The areas of the bases of similar rectangular prisms are 25 square inches and 64 square inches.

What is the ratio of the volumes of the rectangular prisms?


5 to 8

15 to 24

75 to 192

125 to 512

Respuesta :

mhanifa

Answer:

  • D. 125 to 512

Step-by-step explanation:

The ratio of the areas of the bases:

  • 25/ 64

This is a square of the scale factor:

  • k² = 25/64

The scale factor is:

  • k = √25/64 = 5/8

The ratio of the volumes is the cube of the scale factor:

  • k³ = (5/8)³ = 125 / 512

Correct choice is D

ratio of areas

  • 25/64

Ratio of sides

  • √25/64
  • 5/8

Ratio of volumes

  • (5/8)³
  • 125/512

Option D

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