A rectangular sheet of cooper is twice as long as it is wide. From each corner a 3-inch square is cut out, and the ends are then
1 answer:
Answer:
length=24 inches and width=12 inches
Step-by-step explanation:
Let width of the rectangular sheet be x.
Then its length is twice as width = 2x
From each corner 3-inch square is cut to form a tray.
The length of the tray formed = l = 2x-6 (total length - length of 2 squares cut out from both ends)
The width of the tray formed = b = x-6 (total width - length of 2 squares cut out from both ends)
Height of the tray formed = h = 3 inches
Volume of the tray = l*b*h = (2x-6)*(x-6)*3 = 324 cubic inches.
The length and width of the sheet is 24 and 12 inches respectively.
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Answer:
438,012 ways.
Step-by-step explanation:
We have been given that each coupon code will have three letters followed by two digits. The letters M, N, and O and the digits 1, 3, 5, and 7 will not be used. So, there are 23 letters and 6 digits that will be used.
Since the letters and digits can be repeated, so we will use fundamental principal of counting.
For first place, we can use 23 letters, for 2nd and 3rd place we can use 23 letters.
We can use 6 digits for 1st digit place and 6 digit for 2nd digit place as repetition is allowed.
So we can choose coupon code is following ways:
Therefore, we can choose coupon codes in 438,012 ways.