3 years ago

Please help!

1 answer:

8 0

Mode, because out of the 3 numbers, it is the least. BTW- the only reason I know this is because I had this question not too long ago

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How do i find the volume of these similar solids? round to the nearest tenth HELP

FromTheMoon [43]

Answer:

The volume of the larger solid is $592.6\ mm^3$

Step-by-step explanation:

<u><em>The question is</em></u>

If these solids are similar, find the volume of the larger solid

step 1

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

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

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substitute

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step 2

Find the volume of the larger solid

we know that

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

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

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

we have

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substitute the values

$(\frac{4}{3})^3=\frac{x}{250}$

solve for x

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300 times 5 equals 1500.

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