Rectangular cards,2 inches by 3 inches,are cut from a rectangular sheet 2 feet by 3 feet.What is the greatest number of cards that can be cut from the sheet?
Process:
2in * 3in = 6in^2
24in * 36in = 864in^2
864/6 = 144
144
I have the same homework question in my math toolbox 1 and I got 144 also!
I got this problem in a worksheet that a counselor gave me. 144 is the answer.
To find the maximum number of rectangular cards that can be cut from a rectangular sheet, you need to determine how many cards can fit in both the length and width dimensions.
First, convert the dimensions of the sheet from feet to inches:
2 feet = 2 * 12 = 24 inches.
3 feet = 3 * 12 = 36 inches.
Next, calculate how many cards can fit in the length dimension:
Divide the length of the sheet (24 inches) by the length of the card (3 inches):
24 inches / 3 inches = 8 cards in the length dimension.
Then, calculate how many cards can fit in the width dimension:
Divide the width of the sheet (36 inches) by the width of the card (2 inches):
36 inches / 2 inches = 18 cards in the width dimension.
To find the maximum number of cards, multiply the number of cards in the length and width dimensions:
8 cards * 18 cards = 144 cards.
Therefore, the greatest number of cards that can be cut from the sheet is 144.