Mathematics, 26.07.2019 09:00 khristaviaaa

The surface are of a rectangular prism is 95 square centimeters. what is the surface area of a similar prism with dimensions that are 4 times as great as the original prism?

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You should have had this answered long before now. Since to get any area of a prism, you must multiply two dimensions together. If they increase by a measure of 4, what happens. I think I'll ignore the 95 for a minute and just make up my own example.

Suppose you have a rectangular prism that measures 2 * 4 * 6.
You have 2 faces that are 2*4 which is 8*2 = 16
You have 2 faces that are 2*6 which is 12*2 = 24
You have 2 faces that are 4*6 which is 2*23 = 48
Now the total surface area is 48 + 24 + 16 = 88

Now briefly what happens you you increase each dimension by 4? it becomes 8 * 16 * 24
Two faces with 8 by 16 is 128 * 2 = 256
Two faces with 8 by 24 is 192 * 2 = 384
Two faces with 16 by 24 is 384 * 2 = 768
The total area of this figure is 1408. Just how many times bigger is this than 88. It should be 16 times bigger. Is it?

1408 / 88 = 16. It is.

Now to your question. If the sample is 95 cm^2 then the new prism should be 16 times bigger.

95 * 16 = 1520 cm^2 <<<< answer to your question.

Answer from: Quest

the answer is 200

step-by-step explanation:

this is a problem about poisson probabilities. i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.

here's how you can see a poisson distribution coming. when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution. this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot. there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything. the form of the distribution is

probability of n chips = {[e^(-x)]*(x^n)} / (n! )

Answer from: Quest

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

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