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svetoff [14.1K]
3 years ago
15

The rectangular prism is increased by a factor of three. By what factor does the volume increase?

Mathematics
1 answer:
KiRa [710]3 years ago
5 0

Answer:

27

Step-by-step explanation:

Suppose that the dimensions of the rectangular prism are L, W and H.

Then the volume is V = L*W*H.

If you mean to increase EACH dimension by a factor of 3, then we' have

V = (3L)*(3W)*(3H), or V = 27 L*W*H.

The volume of the modified prism would be 27 times larger than that of the original prism.

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\bold{\huge{\underline{ Solution }}}

<h3><u>Analysis </u><u>of </u><u>graph </u><u>:</u><u>-</u></h3>

We have given one graph which is plot between distance and time. where time is in minutes and distance is in seconds.

<u>According </u><u>to </u><u>the </u><u>graph </u>

  • For the first 5 minute ( O to A) , The distance is continously increasing 2m / per minute .
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<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>

1) Between O and A

  • The marellize and wally when moving between O to A , The distance is constantly increasing with time.
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2) Between A and B

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3) Between B to C

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4) For covering the First 6 km ,

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  • For covering first 6 km, They took 3 minutes.

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Answer:

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Step-by-step explanation:

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How many units are -7 and its opposite from zero?
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Answer:

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Step-by-step explanation: Count from 0 how many digits away it is

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3 = 3/4(b - 8)
Switch sides
3/4(b - 8) = 3
Next, multiply both sides by 4
4 * 3/4(b - 8) = 3 * 4
Then simplify,
3(b - 8) = 12
Next, divide both sides by 3
3(b - 8)/3 = 12/3
Then, simplify
b - 8 = 4
Then, add 8 to both sides
b - 8 + 8 = 4 + 8
Simplify, b = 12
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3 years ago
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