Answer:
The two possible displays are;
(1) 6 boxes wide by 8 boxes high and
(2) 12 boxes wide and 4 boxes high
The number of cereal box the new display will hold combined is 96 cereal boxes
Step-by-step explanation:
Here we have that the length of the bottom layer = 6 cereal boxes
Maximum height cannot be more than ten boxes high
Number of cereal box per display = 48
Therefore one cereal box display can be 6 boxes wide by 8 boxes high
While if the cereal box dimensions are Length = 2 × Width
Then the second cereal box display can be 12 boxes wide and 4 boxes high
The two possible sets of dimensions are;
(1) 6 boxes wide by 8 boxes high and
(2) 12 boxes wide and 4 boxes high
The first display will hold 48 cereal box displays while the second will hold
12 × 0.5 × 4 × 2 = 48 cereal boxes
The combined number of cereal boxes the new display will hold is 48 + 48 = 96.
