2 years ago

1. Is a Square a rectangle?(Always, Never, Sometimes. Are all the answers you can say for these)

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

5 0

Answer:

1. sometimes

2. always

3. always

4. always

Step-by-step explanation:

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The two rectangular prisms are similar.

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Answer:

The volume of the larger rectangular prism is $648\ cm^{3}$

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 rectangular prism

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

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

In this problem we have

$z=\frac{12}{4}=3$ ---> the scale factor is equal to the ratio of its corresponding sides

$y=24\ cm^{3}$

substitute and solve for x

$3^{3}=\frac{x}{24}$

$x=27*24=648\ cm^{3}$

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