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The height of a right square pyramid is increased from 5 feet to 15 feet. The size of the base is unchanged. By what factor is the volume of the original pyramid multiplied?

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SpiderMan271idn

ANSWER:-

[tex]\small{\tt{V = \frac{1}{3} * base \: Area * Height[/tex]

[tex]\small{\tt{V_{1} = \frac{1}{3} * base \: Area * 5[/tex]

[tex]\small{\tt{V_{2} = \frac{1}{3} * base \: Area * 15[/tex]

[tex]\small{\tt{Factor = \frac{V_{2} }{V_{1} } = \frac{\frac{1}{3} \: * base \: Area \: * \: 15 }{\frac{1}{3} * Base \: Area * \:5 }[/tex]

[tex]\small{\tt{Factor = \frac{15}{5} = 3[/tex]

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