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asambeis [7]
4 years ago
9

What is the volume of a rectangular Prism if it is scaled down by a factor of 1/10? Original volume is 135.

Mathematics
1 answer:
Snezhnost [94]4 years ago
6 0

Answer:

V=0.135\ units^3

Step-by-step explanation:

we know that

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

Let

z ----> the scale factor

x ----> the volume of the dilated prism

y ----> the volume of the original prism

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

we have

z=\frac{1}{10}

y=135\ units^3

substitute

(\frac{1}{10})^3=\frac{x}{135}

solve for x

(\frac{1}{1,000})=\frac{x}{135}

x=135/1,000=0.135\ units^3

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