Question

Find the number of small cubes with edge 20 cm that can be accommodated in a cubical box of

2 meter edge.

Answer 1

heya frnd..!!
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here is ur answer...

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edge of smaller cube=20cm
volume of smaller cube =20×20×20 =>8000cm^2
edge of cubical box=2m =>200cm
volume of box=200×200 ×200 =>8000000cm^2
no.of small cones that can be accomodated in cubical box=volume of box/volume of each cube

therefore,
reqired no. of cubes=8000000/8000 =>1000cubes

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hope it 'll help u...!!!☺

Answer 2

Given : -
Edge of small cube = 20cm
Edge of big cube = 2m = 200cm


$Volume \: \: of \: \: small \: \: cube = {(side)}^{3} \\ \\ = 20 \times 20 \times 20 \\ \\ = 8000 {cm}^{3}$


$Volume \: \: of \: \: big \: \: cube = {(side)}^{3} \\ \\ = 200 \times 200 \times 200 \\ \\ = 8000000 {cm}^{3}$


No. of small cubes of edge 20cm which can be accommodated in edge of 2m cube

$= \frac{8000000}{8000} = 1000 \: \: cubes$