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amid [387]
3 years ago
7

Please help me. Thank you...

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

9514 1404 393

Answer:

  V = (x)(10-2x)² . . . . factored form

  V = 4x³ -40x² +100x . . . . standard form

Step-by-step explanation:

A square with corners cut out has no volume. It is a plane figure.

__

We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...

  V = LWH = (10-2x)(10-2x)(x)

  V = x(10 -2x)²

_____

The graph shows the volume is a maximum when x = 1 2/3 cm.

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