SOLUTION: Is the correct answer B? I want to check my answers. The M&M jar has a square base with a length and width of 7 cm and a height of 6.5 cm. What would be the most reasonable L

Algebra ->  Sequences-and-series -> SOLUTION: Is the correct answer B? I want to check my answers. The M&M jar has a square base with a length and width of 7 cm and a height of 6.5 cm. What would be the most reasonable L      Log On


   



Question 1160506: Is the correct answer B? I want to check my answers.
The M&M jar has a square base with a length and width of 7 cm and a height of 6.5 cm.
What would be the most reasonable LOWER LIMIT for the number of M&M`s in the jar of the choices below?
A.10
B.100
C.1,000
D.10,000
The image for the question and the question itself are provided in the link here: https://i.imgur.com/74v3Ika.png

Found 2 solutions by Theo, MathLover1:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
it's not 1,000 or 10,000, so it's probably 100.
one peson gave a formula of volume of container divided by volume of m&m * .68
volume of container is 7 * 7 * 6.5 = 318.5 cubic cm.
volume of m&m given as .636
formula becomes 318.5 / .636 * .68 = 340 roughly.
see this refernce:
https://www.npr.org/templates/story/story.php?storyId=1703595#:~:text=636%20cubic%20centimeters%20%2D%2D%20the%20volume%20of%20one%20M%26M.
anothr website showed width and the length of a standard sized m&m.
that s howed me the width is apprimately 2.5/4 cm and the diameter is approximately 5.4/4.
assuming i'm dealing with a rectangular shape, rather than the unique shape of an m&m, i determined the volume of the rectangular shape of the m&m would be approximately 2.5/4 * 5.4/4 * 5.4/4 = 1.1390625 cubic centimeters.
318.5 / 1.1390625 = approximately 280 m&m's.
the answer therefore appears to be less than 1000 and more than 100, so the lower limit is probably 100 since there don't appear to be another options.
if 300 was an option, i would have probably picked that.
here's the reference for the last calculations.
https://www.google.com/search?q=dimensions+of+an+m%26m&rlz=1C1GCEA_enUS874US874&tbm=isch&source=iu&ictx=1&fir=zo_JYgTD6fPr3M%253A%252CEqbFs1xIZIru1M%252C_&vet=1&usg=AI4_-kSI06mpx78hJivRjv8tQetBeHcPJg&sa=X&ved=2ahUKEwiYvMnsrujpAhUnoHIEHZoIBacQ9QEwCnoECAgQHA#imgrc=tiQCnkSKkopjuM

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of the jar is the product of its dimensions, so is
V=LWH=+%287cm%29%287cm%29%286.5cm%29+=+318.5cm%5E3

the actual volume of a single M&M candy to be about 0.636 cubic milliliters
1cm%5E3+=+1mL=> the volume is 0.636cm%5E3
divide the volume of the jar by the volume of a single M&M to get the number of the M&M`s in the jar

then 318.5%2F0.636=500.78616352201254ยป 500 M&M in full jar

so, for the most reasonable LOWER LIMIT for the number of M&M`s in the jar the correct answer should be B