We are given statement " John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel".
Let us assume total number of pages of a novel = p pages.
3 less than 1/3 of total pages = 114.
3 less then 1/3 of P is = 114.
A Minnesota man has quite a cap collection. The
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Answer:
1.82 inches
Step-by-step explanation:
Let the size of square piece cut from the corner is d.
So, the length of the box is 15 - 2y
width of the box is 9 - 2y
height of the box is d.
Volume of the box
Volume = length x width x height
V = (15 - 2y)(9 - 2y)y
V = 4y³ - 48y² + 135y
Differentiate with respect to y.
It is equal to zero for maxima and minima
So, y = 1.82 in or 6.2 in
Now
For y = 1.82 in, it is negative
and for y = 6.2 in, it is positive
So, the volume of the box is maximum if the height of the box is 1.82 inch.
Thus, the size of the square cut from each of the corner is 1.82 inches.