Question

carpenter has a 12 feet long block of wood. How many blocks of 80 cm length can he get out it? Will there be any wood left? If yes, then what is the length of the remaining wood in cm ?
​

Answer 1

1. Given: 12 feet long block of wood

To find:  The number of  blocks of 80 cm length that he can get out of it

Solution: This numerical can easily be solved by dividing the 12 feet long block of wood by the length of each block.

But before that, it is important to convert the metric unit "feet" into " cm".

1 foot is equivalent to 30.48 cms.

Hence, 12 feet = 12×30.48

                         = 365.76 cms.

The carpenter has a long block of wood measuring 365.76 cms.

Each block of wood measures 80 cms.

Thus, the number of blocks the carpenter will obtain by cutting the long block of wood = length of the long block of wood÷ length of each block.

Substituting values, we get       $\frac{365.76 cm }{80 cm}$

                                                    = 4.5

The carpenter will obtain 4.5 blocks of wood after cutting down the 12 feet long block of wood.

Since each block measures 80 cms, 4 complete blocks can be obtained.

There will be  0.5 block of wood still left which means half of the total block of 80 cms.

Thus, length of the remaining wood =   $\frac{80}{2}$

                                                             = 40 cms.

The length of the remaining block of wood is 40 cms.