need answer for this

A sheet of paper 10''-by-16'' is made into an open box (i.e. there's no top),by cutting x-in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.Give your answer in the simplified radical form.

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
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`\sum_{i=1}^3`	$\sum_{i=1}^3$
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Comments

Hint: what is the volume of the box, in terms of $x$ ?

Tim Vermeulen - 7 years, 6 months ago

not given

Ahmed Elsawah - 7 years, 6 months ago

MAKE A FIGURE. when x is cut in squares and the box is formed the height of box is x" bredth is 10-2x" and length is 16-2x" volume of box is LBH=x(10-2x)(16-2x) differentiate it and equate it to zero , so x=1/2"

Anirudha Nayak - 7 years, 6 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$