SOLUTION: A breakfast cereal company advertises a jumbo size box to have double the volume of its regular size box. Both boxes are filled to 90% capacity. The regular sized cereal box is 8

Question 1037443: A breakfast cereal company advertises a jumbo size box to have double the volume of its regular size box. Both boxes are filled to 90% capacity. The regular sized cereal box is 8 cm by 2.5 cm by 12 cm.

a. Determine the capacity of the regular box to the nearest cubic cm.

b. What is the volume of cereal in the regular size box?
Hint: It is filled to 90% capacity.

c. Determine the capacity of the jumbo size box if the dimensions are 10 cm by 3 cm by 18 cm.

d. What is the volume of cereal in the jumbo box?

e. Is the advertisement accurate? Explain.

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Volume(V) of regular size cereal box = 8 * 2.5 * 12 = 240 cm^3
:
a) 240 cm^3
:
b) 90% capacity of regular size cereal box = 0.90 * 240 = 216 cm^3
:
c) V of jumbo size cereal box = 10 * 3 * 18 = 540 cm^3
:
d) 90% capacity of jumbo size cereal box = 486 cm^
:
e) twice the capacity of the regular size cereal box is 2 * 216 = 432 cm^3
90% capacity of the jumbo size ceral box is 486 cm^3 > 432 cm^3
:
therefore, the statement is true
:

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