What is the scale factor, perimeter ratio, surface ratio, and the volume ratio?????????????????????????????

Mathematics

1 answer:

tamaranim1 [39]2 years ago

3 0

Answer:

Scale factor = $\frac{4}{9}$

Perimeter ratio = 4 : 9

Surface area ratio = 16 : 81

Volume ratio = 64 : 729

Step-by-step explanation:

Volume ratio = $\frac{\text{volume of small prism}}{\text{Volume of large prism}}$

= $\frac{128}{1458}$

= $\frac{64}{729}$

= 64 : 729

Scale factor = $\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}$

= $\sqrt[3]{\frac{64}{729}}$

= $\frac{4}{9}$

Perimeter ratio = Scale factor

= $\frac{4}{9}$

= 4 : 9

Surface area ratio = (Scale factor)²

= $(\frac{4}{9})^{2}$

= $\frac{16}{81}$

= 16 : 81

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