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insens350 [35]
3 years ago
9

Suppose you have two similar rectangular prisms. The volume of the smaller rectangular prism is 125 in^3 and the volume of the l

arger rectangular prism is 729 in^3. What is the scale factor of the smaller figure to the larger figure. PLZZZ ANSWER ASAP!!!
Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0

Answer:

\boxed{ \frac{ 5}{ 9}}\\

Step-by-step explanation:

Data:

V₁ = 125 in³

V₂ = 729 in³

Calculations:

A scale factor (C) is the ratio of corresponding side lengths (l) of the two prisms.

C=\frac{ l_{1}}{ l_{2}}\\

The volume ratio is the cube of the scale factor.

\frac{V_{1}}{ V_{2}} = C^{3}\\

\frac{125}{ 729} = C^{3}\\

C = \sqrt [3]{\frac{ 125}{729 }} = \frac{5 }{9 }\\

\boxed{ \textbf{The scale factor is } \frac{ 5}{ 9}.}\\

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