The volume of the cube is base times width times height, or any of these measurements cubed, since they're all the same.
Therefore, the volume of the cube is:
12³ = 1728 in³
The volume of the cylinder is π*r²*h, where r is the radius and h is height
Remember that the diameter is twice the radius, so the radius is 2 in and the height is 5 in.
Therefore, each can has a volume of π * 2² * 5 = 20π
Approximating π as 3.14....
The volume of each can is 62.8 in³
1728 ÷ 62.8 = 27.5
Rounding down, 27 cans can fit in the crate.
This is how I suspect the teach wanted you to solve, since it involves finding the volume of both shapes and using pi. However, this is not actually how many cans can fit, because it does not take into account the fact that not every inch of available space will be used.
Here is another way to solve,taking this fact into account, that gives the more accurate answer:
Each can has a diameter of 4in, which means that they each require a square of 4 x 4 in to accommodate their base.
The base of each can requires 16 in² of space in the crate.
The base of the cube is 12 x 12, so the area of the base is 144 in²
144 ÷ 16 = 9, so the base of the cube, or bottom of the box, can fit 9 cans, arranged 3 by 3.
The cube has a height of 12 inches, and each can is 5 inches tall. Therefore, two of these stacks can fit in the box, for 9 x 2 = 18 cans.
This is a much better answer, as it takes into account the fact that the cans can't occupy every inch of available space in the cube.
The answer is the first option
y=3/2x+5
Answer:
f^-1 (x)= 2×/×-1 is your answer
As a child, Mary despised her stringent upbringing;
however, as she grew older she began to appreciate
her grandmother’s strict discipline.
The correct option is B.
<h3>Explanation:</h3>
Discipline - despised is the past tense of despise meaning - to feel contempt or a deep repugnance for something or someone. Discipline, on the other hand, is the process of teaching people to follow rules while using punishment to enforce compliance.
<h3>What distinguishes strict from discipline?</h3>
Although flexibility is not typically considered a benefit of discipline, being disciplined now will result in flexibility later. However, being rigid will result from being strict. Build the proper systems in your life by working hard to do so, but realize that the system itself won't ultimately matter.
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Answer:
$32.50
Step-by-step explanation:
2/5 = 40%
1/10 = 10%
65/2 = 32.5
