A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 20 in. by cu

Question

3 years ago

7

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 20 in. by cu

tting out equal squares of side x at each corner and then folding up the sides.
I found the function that models the volume V of the box
V(x) =4x^3-68x^2+280x

But I'm having trouble with finding the the values of x for which the volume is greater than 210 in^3. (Round your answer to three decimal places.)

AND finding the largest volume that such a box can have. (Round your answer to three decimal places.)

Mathematics

1 answer:

d1i1m1o1n [39] · Answer 1 · 2022-07-10T06:09:37+03:00

d1i1m1o1n [39]3 years ago

7 0

VOLUME IS L × W × H

KNOW THAT OKAY