Tyler’s family is using a shipping trailer that is 5 feet tall, 4 feet wide, and 12 feet long to load boxes of apples in. Each b
ox the apples are packed in has to have a volume of 5184 in3. Help design a box that will fill the trailer with no wasted space, and meet the volume requirements.
2 answers:
Answer:
Tyler’s family is using a shipping trailer that is 5 feet tall, 4 feet wide, and 12 feet long.
Volume of the box = 5184 cubic inches
Total volume of trailer will be :
=> = 414720 cubic inches (1 feet = 12 inches)
Number of boxes that will fill this space =
= 80 boxes
We know the volume formula: L x W x H = 5184
Here, L should divide into 12 (144 inches) evenly.
W should divide 4 (48 inches) evenly.
H should divide 5 (60 inches) evenly.
To solve for dimensions, lets suppose W= 24 inches
As L x W x H = 5184
So, L x H =
L x H = 216
Let us make H = 12 inches then we get L=18 inches
As stated above;
L=18 goes into 144 evenly by 8 times
H=12 goes into 60 evenly by 5 times
And W=24 goes into 48 evenly by 2 times
And also boxes
So, these are one of the possible solutions to this question.
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