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A pizza box requires a 16" x 30" piece of cardboard. A pizza separator
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01 Mar 2024, 01:51
01 Mar 2024, 01:51
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A pizza box requires a 16" x 30" piece of cardboard. A pizza separator is 14" in diameter. A sheet of cardboard is 46" x 64". A pizza container consists of one box and one separator.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Number of boxes that can be cut from a single sheet of cardboard |
Number of sheets of cardboard required to create 24 pizza containers |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: A pizza box requires a 16" x 30" piece of cardboard. A pizza separator
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09 Mar 2024, 22:02
09 Mar 2024, 22:02
OE Please.
Also, I'm having trouble grasping how to approach this problem. I don't know how the pizza separator works or how to include it in the container. i.e., How will it affect the area of the container?
Thanks
Sincerely
Also, I'm having trouble grasping how to approach this problem. I don't know how the pizza separator works or how to include it in the container. i.e., How will it affect the area of the container?
Thanks
Sincerely
Re: A pizza box requires a 16" x 30" piece of cardboard. A pizza separator
[#permalink]
10 Mar 2024, 02:58
10 Mar 2024, 02:58
Expert Reply
OE
You are asked to determine how many boxes and/or separators can be extracted from a 46" x 64" sheet of cardboard.
First, to find Quantity A, you need to determine the number of 16" x 30" pizza boxes that can be extracted from a single 46" x 64" sheet of cardboard. Comparing the box dimensions (16') and the cardboard dimensions, you may notice that 16" divides evenly into 64". Sketching a large rectangle of 64" x 46", place the smaller pizza box rectangles inside so that the 16" edges are on the long edge of the large rectangle. You will then notice that a strip of cardboard measuring 16". 64" remains. You can cut two more boxes of 16". 30" from this strip, leaving a 4" x 16" section of waste. Because this waste area is too small to make a box, you have to stop, having cut 6 boxes from a single sheet of cardboard.
Now, to find Quantity B, we can use the results from QuantityAto determine that it will take 4 sheets of cardboard to create the requested 24 boxes. The remaining question is, how many sheets of cardboard are required to cut out 24 of the 14"-round pizza separators?
This can be found by dividing the diameter of the circle (d = 14) into the edge lengths of the rectangular piece of cardboard: 64/14 = 4 with a remainder of 10". Moving in the other direction: 46/14 = 3 with 4 inches remaining. You can thus fit 12 (4 x 3) separators onto a single sheet of cardboard.
The number Of sheet s required to make the separators is 24/12= 2 sheets.
Add these 2 to the 4 sheets required for the boxes and you get a value for Quantity B of 6.
C is the answer
You are asked to determine how many boxes and/or separators can be extracted from a 46" x 64" sheet of cardboard.
First, to find Quantity A, you need to determine the number of 16" x 30" pizza boxes that can be extracted from a single 46" x 64" sheet of cardboard. Comparing the box dimensions (16') and the cardboard dimensions, you may notice that 16" divides evenly into 64". Sketching a large rectangle of 64" x 46", place the smaller pizza box rectangles inside so that the 16" edges are on the long edge of the large rectangle. You will then notice that a strip of cardboard measuring 16". 64" remains. You can cut two more boxes of 16". 30" from this strip, leaving a 4" x 16" section of waste. Because this waste area is too small to make a box, you have to stop, having cut 6 boxes from a single sheet of cardboard.
Now, to find Quantity B, we can use the results from QuantityAto determine that it will take 4 sheets of cardboard to create the requested 24 boxes. The remaining question is, how many sheets of cardboard are required to cut out 24 of the 14"-round pizza separators?
This can be found by dividing the diameter of the circle (d = 14) into the edge lengths of the rectangular piece of cardboard: 64/14 = 4 with a remainder of 10". Moving in the other direction: 46/14 = 3 with 4 inches remaining. You can thus fit 12 (4 x 3) separators onto a single sheet of cardboard.
The number Of sheet s required to make the separators is 24/12= 2 sheets.
Add these 2 to the 4 sheets required for the boxes and you get a value for Quantity B of 6.
C is the answer
