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show, how much amount has been collected?
9. Nine boards are stacked on the top of each other. The thickness of each board is 
3(2)/(3)cm. How high is the stack?

show, how much amount has been collected?\newline99. Nine boards are stacked on the top of each other. The thickness of each board is 323 cm 3 \frac{2}{3} \mathrm{~cm} . How high is the stack?

Full solution

Q. show, how much amount has been collected?\newline99. Nine boards are stacked on the top of each other. The thickness of each board is 323 cm 3 \frac{2}{3} \mathrm{~cm} . How high is the stack?
  1. Convert to Improper Fraction: Convert the mixed number 3233\frac{2}{3} cm to an improper fraction for easier calculation. \newline3233\frac{2}{3} cm = 3×3+23\frac{3 \times 3 + 2}{3} = 113\frac{11}{3} cm.
  2. Calculate Total Height: Multiply the thickness of one board by the total number of boards to find the total height of the stack.\newlineTotal height = 113cm×9\frac{11}{3} \, \text{cm} \times 9.
  3. Find Total Height: Perform the multiplication to find the total height.\newlineTotal height = (113)×9=33(\frac{11}{3}) \times 9 = 33 cm.