A country's postal service will accept a package if its length plus its girth (the distance all the way around) does not exceed 84 inches. Find the dimensions and volume of the largest package with a square base that can be mailed.

Dimensions: 18.667 x 18.667 x 14 inches

Volume: 4878.22 in3

Step-by-step explanation:

If the length plus the girth does not exceed 84 inches, we have:

The box has a square base, to length = width, then we have:

The volume of the box is given by the equation:

From the first equation, we have:

Using this height in the volume equation, we have:

To find the maximum volume, we can find the value of length that makes the derivative of the volume in relation to the length equal zero:

So the width, the height and the volume of the package are:

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

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