1. A box without a top is to be made from a rectangular piece of cardboard, with dimensions 3 in. b) in., by cutting out square corners with side length x and folding up the sides.

a) The volume of the box is represented by .

b) A side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

Step-by-step explanation:

a) The volume of the box (), in cubic inches, is modelled by the equation for the cuboid:

(1)

Where is the side length of the cutted square corners, in inches.

The volume of the box is represented by .

b) The method consist in graphing the polynomial and looking for a relative maximum. We graph the equation found in a) by means of a graphic tool. We present the outcome in the image attached below. According to this, a side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

135 is your answer

step-by-step explanation:

try 180 times three then divide that number by 4 (sides) to get your answer. im glad to : )

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.