A sheet of wood measures 4 feet by 8 feet.A teacher cuts up the sheet into smaller pieces that measure 10 cm by 20 cm.How many of these smaller sheets can the teacher make?
Question
A sheet of wood measures 4 feet by 8 feet.A teacher cuts up the sheet into smaller pieces that measure 10 cm by 20 cm.How many of these smaller sheets can the teacher make?
Solution
First, we need to convert the measurements from feet to centimeters because the smaller pieces are measured in centimeters.
1 foot is equal to 30.48 centimeters.
So, the sheet of wood measures 4 feet x 30.48 = 121.92 cm by 8 feet x 30.48 = 243.84 cm.
Next, we find the area of the original sheet of wood and the smaller pieces.
The area of the original sheet is 121.92 cm x 243.84 cm = 29748.7488 square cm.
The area of the smaller pieces is 10 cm x 20 cm = 200 square cm.
Finally, we divide the total area of the original sheet by the area of the smaller pieces to find out how many smaller pieces can be made.
29748.7488 square cm ÷ 200 square cm = 148.74
Since we can't have a fraction of a sheet, we round down to the nearest whole number.
So, the teacher can make 148 smaller sheets from the original sheet of wood.
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