BTGmoderatorDC wrote:
The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k?
(1) Each of the cans has a radius of 4 centimeters.
(2) Six of the cans fit exactly along the length of the carton.
OA
D
Source: Official Guide
Let's take each statement one by one.
(1) Each of the cans has a radius of 4 centimeters.
Thus, the diameter of each can = 8 cm and 48/8 = 6 cans can fit in a row; similarly, 32/8 = 4 cans can fit in a column.
Thus, k = 6*4 = 24. Sufficient.
(2) Six of the cans fit exactly along the length of the carton.
=> Diameter of each can = 48/6 = 8 cm.
Above is the same information as we have in Statement 1. Sufficient.
The correct answer:
D
Hope this helps!
-Jay
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