Question

[HOTS)
18. How many cubes of edge 4 cm can be cut from a cuboid whose length, breadth and height are 20 cm, 18 cm and 16 cm respectively?​

Answer 1

Answer:

no of cubes =20×18×16/4×4×4=90

Answer 2

$\huge\mathbb{SOLUTION:-}$

$\bold{Given:-}\begin{cases}\sf{Edge\:of\:cube=4cm}\\ \sf{Dimensions\:of\: cuboid}\\ \sf{\implies 20cm\:18cm\:16cm}\end{cases}$

$\bf\underline{\underline{According\:To\: Question:-}}$

• First find the volume of cube

$\boxed{\sf{Volume \:of\:cube=side{}^{3}}}$

$\bf\underline{\red{According\:To\: Question:-}}$

$\sf\implies volume \:of\:cube=(4){}^{3}\\ \\ \sf\implies volume =64cm{}^{2}$

• Now the volume of cuboid

$\boxed{\sf{Volume \:of\:cuboid=length\times breadth\times height}}$

$\sf \implies Volume\:of\: cuboid=20\times 18\times 16\\ \\ \sf\implies Volume\:of\: cuboid=360\times 16\\ \\ \sf\implies Volume =5760cm{}^{3}$

• Now the number of cubes can be cut from cuboid

$\boxed {\sf{Number\:of\: cubes=\frac{Volume\:of\: cuboid}{Volume\:of\:Cube}}}$

$\tt\mapsto Number\:of\:cubes=\cancel{\frac{5760}{64}}\\ \\ \tt\mapsto Number\:of\:cubes=90$

• 90 cubes can be cut from cuboid

$\boxed {\sf{\purple{Number\:of\: cubes=90}}}$

#BAL

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