Question

How many boxes each of edge 8cm can be placed in
a cuboidal box with dimensions 32cm * 24cm * 16cm​

Answer 1

Answer:

24

Step-by-step explanation:

32*24*16 / 8*8*8

=4*3*2

=24 boxes

Answer 2

★ Given:

Each small box has an edge of 8 cm.

Length of the cuboidal box = 32 cm

Breadth of the cuboidal box = 24 cm

Height of the cuboidal box = 16 cm

★ To Find:

How many small boxes can be stored in the cuboidal box.

★ Analysis

First we have to find the volume of the cuboidal box and then, that of the cubical box. Dividing these values, we will get the no. of small boxes.

★ Formulae to be used:

→ $\sf{Volume\:of\:cube=a^3}$

→ $\sf{Volume\:of\:cuboid=lbh}$

★ Solution:

Volume of the cuboidal box:

Length = 32 cm

Breadth = 24 cm

Height = 16 cm

Volume of cuboid = lbh

= 32 x 24 x 16

= 12288 cm³

Volume of the cubical box:

Edge = 8 cm

Volume of a cube = a³

= 8³

= 8 x 8 x 8

= 512 cm³

No. of cubical boxes that can be stored in the cuboidal box:

$\sf{=\dfrac{Volume\:of\:cuboidal\:box}{Volume\:of\:cubical\:box}}$

$\sf{=\dfrac{12288}{512}}$

= 24 cubical boxes

Hence the no. of cubical boxes that can be stored in the cuboidal box is 24.