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jek_recluse [69]
2 years ago
13

Pyramid P is similar to pyramid Q. The volume of pyramid P is 980 c m cubed, and the volume of pyramid Q is 3307.5 c m cubed. Wh

at is the scale factor that would enlarge pyramid P to the size of pyramid Q?
Mathematics
1 answer:
jeka57 [31]2 years ago
8 0

Answer:

The scale factor is \frac{3}{2}

Step-by-step explanation:

The volume of the original prism is V_P=980cm^3

The volume of the dilated prism is V_Q=3307.5cm^3

Let the scale factor be k.

To find the volume of the dilated prism, we multiplied by k^3.

\Rightarrow 980k^3=3307.5

\Rightarrow k^3=\frac{3307.5}{980}

\Rightarrow k^3=\frac{27}{8}

\Rightarrow k=\sqrt[3]{\frac{27}{8}}

\Rightarrow k=\frac{3}{2}

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