Question

A cuboid is a dimension 60 cm × 54 cm × 30 cm. How many small cubes side 12 cm can be placed in the given cuboid.​

Answer 1

$\huge \underline \mathfrak{Solution : }$

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$\sf{Volume \: of \: cuboid = l × b × h} \\ = 60 \times 54 \times 30 {cm}^{2}$

$\sf{Volume \: of \: cube = {a}^{3} } \\ 12 \times 12 \times 12 {cm}^{3}$

Number of cubes that can be placed in given cubiod :

$= \frac{97200}{1728} \\ = \frac{225}{4} = 56.25 \: cubes$

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Answer 2

Answer:

Volume of cuboid = l×b×h

= 60×54×30 = 97200$\{cm}^{3}$

Volume of cube = 12×12×12 = 1728$\{cm}^{3}$

Number of cubes placed in cuboid

= 97200/1728

=56.25 cubes.

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