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Wood is sometimes sold in planks that are 2 inches high, 4 inches wide, and 6 feet long.

How many pieces can be cut that are 2 inches high, 4 inches wide, and 6 inches long?

Please show steps on how to do this, so I can understand how to do it!

Thank you.

User Uvar
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2 Answers

6 votes

Final answer:

By converting the plank's length from 6 feet to 72 inches, we find that it is possible to cut 12 pieces that are 2 inches by 4 inches by 6 inches from the original plank.

Step-by-step explanation:

To calculate how many pieces of wood can be cut from a plank that is 2 inches high, 4 inches wide, and 6 feet long into pieces that are 2 inches high, 4 inches wide, and 6 inches long, you must first convert all measurements to the same units. Since we want to cut the wood into pieces 6 inches long, we will convert the length of the original plank from feet to inches.



There are 12 inches in a foot, so a 6-foot long plank is 6 x 12 = 72 inches long.



Next, divide the length of the plank in inches by the length of the desired pieces:



72 inches ÷ 6 inches = 12 pieces



Therefore, you can cut 12 pieces that are each 2 inches high, 4 inches wide, and 6 inches long from the original plank.

User Nickfinity
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5.7k points
3 votes

Answer:

Answer = 72!

Step-by-step explanation:

Okay, so imagine that piece of wood in your mind

As the second part of the question states, the LENGTH is the only dimension that changes. It goes from 6 Foot pieces, to 6 INCH pieces.The height and the width stay the same, at 2 inches and 4 inches, respectively

So, we know that there are 12 inches in a foot. If the original piece was 6 Feet long, then if you multiply 6 (the number of feet) x 12 (the number of inches per foot) then you come up with 72!

Thus, that plank of would could be cut into 72 pieces that were 2 inches high, 4 inches wide, and 6 inches long.

User Catalina Chircu
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5.3k points