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Gekata [30.6K]
2 years ago
12

the volume of a triangular prism is 42 cubic centimeters. what is the volume of a similar prism that is twice as large as large

as the first prism
Mathematics
1 answer:
Dmitriy789 [7]2 years ago
3 0

Answer:

The volume of the similar prism is 336\ cm^{3}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the larger prism

y----> the volume of the smaller prism

so

z^{3}=\frac{x}{y}

In this problem we have

z=2 -----> the scale factor

y=42\ cm^{3}

substitute and solve for x

x=42(2^{3})=336\ cm^{3}

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