How many cubes of $25$ cm side can be cut from a wooden log of $1$ m length, $50$ cm breadth and $25$ cm height.

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Solution

Given :
a $= 25$
l $= 1 m = 100 c m,$ b $= 50 c m,$ h $= 25 c m$

Volume of cuboid $= l \times b \times h$
Volume of cube $= a^{3}$

No. of cubes $= \frac{V o l . o f l o g (c u b o i d)}{V o l . o f 1 c u b e}$

$= \frac{100 \times 54 \times 25}{25 \times 25 \times 25}$
$= 4 \times 2 \times 1$

No. of cubes $= 8$

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How many cubes of 25 cm side can be cut from a wooden log of 1m length, 50 cm breadth and 25 cm height.

Given :a=25l=1 m=100 cm, b=50 cm, h=25 cmVolume of cuboid =l×b×hVolume of cube =a3No. of cubes=Vol.oflog(cuboid)Vol.of1cube =100×54×2525×25×25 =4×2×1No. of cubes=8

How many cubes of $25$ cm side can be cut from a wooden log of $1$ m length, $50$ cm breadth and $25$ cm height.