The number of pieces made from rod is 49
Given that A metal rod will be cut into pieces that are each 1/56 meters long
The rod is 7/8 meters long.
To find: number of peices made from rod
The number of peices made from rod can be calculated by dividing the total length of rod by length of each piece
[tex]\text {number of pieces made }=\frac{\text {total length of rod }}{\text { length of each piece}}[/tex]
Here total length of rod = [tex]\frac{7}{8}[/tex] meters
length of each piece to be made = [tex]\frac{1}{56}[/tex] meters
Substituting the values in above formula, we get
[tex]\text {number of pieces made }=\frac{\frac{7}{8}}{\frac{1}{56}}=\frac{7}{8} \times \frac{56}{1}[/tex]
[tex]\text {number of pieces made }=7 \times 7=49[/tex]
So the number of pieces made from rod is 49