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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Answer:
-9x^5(x+3)(x-7)
Step-by-step explanation:
factor out -9x^3 from the expression
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Maybe you want to find x such that ...
2/7 = x/(x +10)
2(x +10) = 7x . . . . . . multiply by 7(x+10)
20 = 5x . . . . . . . . . . subtract 2x, simplify
4 = x . . . . . . . . . . . . divide by 5
_____
<em>Additional comment</em>
You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.
From the diagram, we can see that the radius of the cone is 8cm and the height of the cone is 15cm. We then just plug these numbers into the formula and simplify:
The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.
