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.
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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
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The graph shows the volume is a maximum when x = 1 2/3 cm.
Answer:
The height of any right triangle is just simply the many units that are going up but it has to start from the right angle and upwards and that would be your height.
It may already give you a height so there is no need to worry if so.
Here, in this case the side on the very left is my height:
