SOLUTION: This is an consumer question, sort of! I am an adult "student" of life and this is my question: This is my REAL question: (But there are 2 math solutions to find to get to the

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Question 894426: This is an consumer question, sort of! I am an adult "student" of life and this is my question:
This is my REAL question: (But there are 2 math solutions to find to get to the nitty gritty final numerical question of "what is the difference between the two?" Then each of us must answer for ourselves whether the difference between the size of the box of Marie Callender's individual piece of pie so much bigger than the piece of pie inside that it qualifies as deception?
So:
Part a. How big is the box? It measures 4 inches by 4 inches by 2 inches. I think the answer is 4x4x2= 32 square inches. (???)
Part b. How big is the piece of pie? It is round and measures out to be 3 inches in diameter and is 1 inch thick. I'm clueless here. I can't remember a doggoned thing about calculating the volume of round items.
Part c. What is the difference between a. and b.? Is the answer here simply to subtract the smaller one from the larger?
Then the real question is a subjective one: Is the difference great enough to be deceptive? Should The Marie Callender company be ashamed of themselves?
I hope you will chose my question. I think it is interesting as well as provocative.
Thank you very much for volunteering here, whether you answer my question or not! You are performing a valuable service.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Part (a)
The box is 4 by 4 by 2, measured in inches.
Volume is cubic inches.
Do the arithmetic operation connected with multiplication from left to right.
Volume is 32 cubic inches.

Part (b)
A piece of pie would not be round, unless this is an unusual form of pie. Yet,
you are given that this "piece" of pie is round with diameter 3 inches and thickness
meaning height of 1 inch. This is a cylinder shape. The volume of this pie in the box
is , cubic inches, to the nearest whole number.

The question of this size difference being deceptive is uncertain. We do not know the reason
that the product designers fit the 7 cubic inch pie into the 32 cubic inch box. The handler and
the customer would want enough room to lift the pie from the box and avoid crushing because of
possible flexibility of the box.

Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!

This is an consumer question, sort of! I am an adult "student" of life and this is my question:
This is my REAL question: (But there are 2 math solutions to find to get to the nitty gritty final numerical question of "what is the difference between the two?" Then each of us must answer for ourselves whether the difference between the size of the box of Marie Callender's individual piece of pie so much bigger than the piece of pie inside that it qualifies as deception?
So:
Part a. How big is the box? It measures 4 inches by 4 inches by 2 inches. I think the answer is 4x4x2= 32 square inches. (???)
Part b. How big is the piece of pie? It is round and measures out to be 3 inches in diameter and is 1 inch thick. I'm clueless here. I can't remember a doggoned thing about calculating the volume of round items.
Part c. What is the difference between a. and b.? Is the answer here simply to subtract the smaller one from the larger?
Then the real question is a subjective one: Is the difference great enough to be deceptive? Should The Marie Callender company be ashamed of themselves?
I hope you will chose my question. I think it is interesting as well as provocative.
Thank you very much for volunteering here, whether you answer my question or not! You are performing a valuable service.

You calculated the volume of the box (by the way, volume's measurement is CUBED, not SQUARED), but in my opinion,
the volume is insignificant. The measurements I believe you need are: 1) the dimensions of the base of the box;
2) the DIAMETER of the pie; and 3) the height of the box and the pie.
The dimensions of the base of the box MUST be greater than the diameter of the pie since the pie has to fit in
the box, and rest on the box' base, with enough room around it. Thus, the length and width of the base of the box
MUST BE 4" by 4", so as to fit a pie with a diameter of 3".
Additionally, the height of the box must be GREATER than the height of the pie, so as to fit the pie, and be able
to close, or cover the box. Therefore, the height of the box would be 2" since the height of the pie is 1".
Part a. How big is the box?
I would say that the box is 4" wide, 4" long, and 2" high. This is all that's needed to determine if it's
large enough to fit the pie.
Part b. How big is the piece of pie?
The piece of pie has a diameter of 3", and a height of 1". I don't believe the volume ()
of the circular pie is needed here. The pie's diameter and height, as seen, are small enough to be able to
fit the pie into the box, and are what one would need to determine if the box is large enough.
Part c. What is the difference between a. and b.? Is the answer here simply to subtract the smaller one
from the larger?

The difference between the two, in my opinion, would be the 1" difference between the width of the base of
the box, and the diameter of the pie, the 1" difference between the length of the base of the box and the diameter
of the pie, and the 1" differences between the heights of the box and the pie, with the height of the box being larger.
Then the real question is a subjective one: Is the difference great enough to be deceptive?
Should The Marie Callender company be ashamed of themselves?

If one should compare the volumes and the areas of the two, the larger differences do seem quite deceptive.
For example, if the pie's DIAMETER were 4.5" instead of 3", the pie's volume would be 15.90431281 () cub inches.
Considering that the box' volume is 32 cub inches, it would seem as though the pie's volume is smaller than the box',
and so, should be able to fit. No, no, no!! As the pie's diameter (4.5") is larger than the box' width and its length,
the pie would definitely not fit into the box. As it stands now, it could be considered deceptive seeing that
the pie's volume (, or , or ) cub inches, could indicate that the pie would easily fit
into the box, as the pie's volume is significantly smaller than that of the box. This is far from true, as seen.
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