A carpenter cut three 4 foot 6 inch shelves from a 14 foot board. How long a piece was left over?

A.6 inches B.1 foot 6 inches C.2 feet D.1 foot


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Answer:

A. 6 inches

Step-by-step explanation:

Since,

1 foot = 12 inches,

Given,

Total length of board = 14 foot = 14 × 12 = 168 inches,

The length of one shelves which is cut from board = 4 foot 6 inches = 4 × 12 + 6 = 48 + 6 = 54 inches,

Also, the number of shelves that are cut from board = 3,

So, the total length of board was cut = 3 × 54 = 162 inches,

Hence, the length of piece left over = Total length of board - The length of board that was cut

= 168 - 162

= 6 inches.

Option A is correct.

fichoh

Using the subtraction operation and appropriate conversion, the length of piece left over is 6 inches.

  • I foot = 12 inches

Total length of shelve = 14 foot = (14 × 12) = 168 inches

Length cut = 4 foot 6 inches = (4×12) + 6 = 54 inches

Total length cut out = 3 × 54 = 162 inches

The length of shelve left :

Total length of shelve - total length cut out

168 inches - 162 inches = 6 inches

Therefore, the amount of piece left over is 6 inches.

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