Answered

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Gina has one-third scale model of a three-dimensional solid, meaning that all lengths
of the model are 1/3 of the corresponding lengths in the full-size solid. If the volume of
Gina’s model is 20 cubic inches, what is the volume of the full-sized solid?

Sagot :

Answer:

volume is 540 inches^3

Step-by-step explanation:

The computation of the volume of the full sized solid is given below:

The length would be

[tex]\frac{a}{3}, \frac{b}{3}, \frac{c}{3}[/tex]

And, the volume is

[tex]\frac{a}{3} \times \frac{b}{3} \times \frac{c}{3}[/tex]

As the volume is given 20 cubic inches

So,

[tex]\frac{abc}{27} = 20\\\\abc = 540 inches^3[/tex]

hence, volume is 540 inches^3

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