Check the picture.
let the length of a side of each of the squares removed be x.
The box formed will have dimensions: 80-2x, 50-2x, x(the height)
So the volume can be expressed as a function of x as follows:
f(x)=(80-2x)(50-2x)x=
![[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x](https://tex.z-dn.net/?f=%5B4000-160x-100x%2B4%20x%5E%7B2%7D%20%5Dx%3D%284%20x%5E%7B2%7D-260x%2B4000%29x)
so

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions
x=10 and x=33.333
plug in f(x) these values to see which greater:

cm cubed

which is negative because (50-66.666)<0
Answer: 18000 cm cubed
Convert 3 4/7 into an improper fraction: 25/7
17/21 divided by 25/7
Dividing by a fraction is the same as multiplying by it's reciprocal.
17/21*7/25
Simplify:
17/3*1/25
Multiply across:
17/75
78×45/100
=35.1. As a result, 35.1 is 45% of 78. Hope it help!
I had three blocks of chocolate. If I had to divide them by 1/10, how much would I have?
Answer:
66.66 (other currency)
Step-by-step explanation:
If every £3 represents 2 of another currency, you just need to figure out how many groups of £3 are in £100 (so £100/£3 = 33.33). Now multiply this value by 2 to get the equivalent of £100 in another currency.