The maximum possible volume of this type of box that can be made from a 20 cm by 20 cm square of paper is 512cm³.
<h3>How to calculate the volume?</h3>
From the information, when the side of 1cm are cut, this will become an open box. The volume will be:
= 18 × 18 × 1
= 324cm³
Also, when 2cm is cut, the volume will be:
= 16 × 16 × 2
= 512cm³
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To calculate the square root, you can either use the √symbol on a calculator or you can manually find it using Prime Factorization. For non-perfect squares, Prime Factorization is the way to go.
The first two steps work for solving large perfect squares as well.
1. Divide your number into perfect square factors.
2. Take the square roots of your perfect square factors.
3. If your number doesn't factor perfectly, reduce your answer to simplest terms.
4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be.
ie.

you know that

and

, so you can estimate that the

would be between 7 and 8 but closer to 8.
5. <span>Alternatively, reduce your number to its lowest common factors as your first step.</span><span> Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie. </span>

=

=

=

Hope this helped!!!
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Answer:
Step-by-step explanation: try to get x in one side and the whole number to another side to get x= blank
Answer: <em>1/10</em>
Step-by-step explanation: These two events are independent, meaning the outcome of the first event doesn't affect the outcome of the second.
To find the probability of independent events, first, find the
probability of each event, then multiplies the probabilities.
The probability of spinning an A on the first spinner is 1/5
since there is 1 favorable outcome and 5 total outcomes.
The probability of spinning an odd number on the second spinner
is 3/6 which simplifies to 1/2 since there are 3 favorable outcomes,
spinning a 1, 3, or another 3 since these are odd numbers.
So now we have 1/5 × 1/2 and when multiplying fractions,
we multiply across the numerators and denominators to get 1/10.
So the probability of spinning an A, then an odd number is 1/10.