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# How many cubic blocks of wood of side 20cm can be cut from a block of wood having dimensions of 2m, 80cm and 40cm?

Last updated date: 16th Jun 2024
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$Volume{\text{ }} = {\text{ }}length\; \times \;width\; \times height$
And volume of a block of wood having same dimensions is $Volume{\text{ }} = {\text{ }}length\; \times \;length\; \times length$
$\begin{array}{*{20}{l}} {Length{\text{ }}of{\text{ }}Wooden{\text{ }}Block{\text{ }} = {\text{ }}2m{\text{ }} = {\text{ }}2{\text{ }} \times {\text{ }}100{\text{ }} = {\text{ }}200cm} \\ {Width{\text{ }}of{\text{ }}Wooden{\text{ }}Block{\text{ }} = {\text{ }}80cm} \\ {Height{\text{ }}of{\text{ }}Wooden{\text{ }}Block{\text{ }} = {\text{ }}40cm} \end{array}$
$\begin{array}{*{20}{l}} {Volume{\text{ }}of{\text{ }}block{\text{ }}of{\text{ }}wood{\text{ }} = {\text{ }}200cm{\text{ }} \times {\text{ }}80cm{\text{ }} \times {\text{ }}40cm{\text{ }} = {\text{ }}64000cm{\text{ }}cube} \\ {Volume{\text{ }}of{\text{ }}1{\text{ }}cubical{\text{ }}block{\text{ }} = {\text{ }}20cm{\text{ }} \times {\text{ }}20cm{\text{ }} \times {\text{ }}20cm{\text{ }} = {\text{ }}800cm{\text{ }}cube} \\ {No.{\text{ }}of{\text{ }}blocks{\text{ }} = 64000 \div 800{\text{ }} = {\text{ }}80{\text{ }}blocks} \end{array}$