Dh/dt = -32t + 24
-32t + 24 = 0 when maximum
32t = 24
t = 24/32
t = 3/4

To find the maximum height just substitute "t" in

h = -16 (9/16) + 24(3/4) + 7
h = -9 + 18 + 7
h = 16ft

5 0

3 years ago

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Petra fills a small cardboard box with sand. The dimensions of the box are 3 inches by 4 inches by 2 inches. What is the volume

mr Goodwill [35]

Answer: 24 in³

Step-by-step explanation:

You know that the dimensions of the box are:

3 inches.

4 inches.

2 inches.

As each face of the cardboard box is a rectangle, you can conclude that it has the form of a rectangular prism.

Therefore, to calculate the volume of the box, you must multiply the dimensions given in the problem.

Therefore, you obtain that the volume of the box is:

$V=(3\ in)(4\ in)(2\ in)\\V=24\ in^3$

8 0

4 years ago