Question

a solid cube of side 12 cm is cut into 8 cubes of equal volume. find the size of new cube​

Answer 1

Side of the bigger cube , a = 12cm

Volume of the bigger cube, a³ = (12)³ = 1728cm³

Volume of the 8 new cubes = $\frac{Volume\:of\:the\:bigger\:cube}{8}$

= $\frac{1728 cm^3}{8}$

= 216 cm³

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Answer 2

$\huge\underline{\sf GivEn :-}$

• A solid cube of side 12 cm is cut into 8 cubes of equal volume

$\huge\underline{\sf To\:Find :-}$

• Find the edge of the new cube = ?

$\huge\underline{\sf SoLutioN :-}$

We have given that, the side of a cube is 12 cm

To find the volume of the cube, we use the formula:- a³

Putting the values in the formula

$\implies$$\rm{ <strong>V</strong><strong>o</strong><strong>l</strong><strong>u</strong><strong>m</strong><strong>e</strong><strong> </strong><strong>=</strong><strong> </strong><strong> </strong>}$ (12)³

$\implies$$\rm{ <strong>Volume</strong> <strong>=</strong><strong> </strong>}$

1728 cm³

It is cut into 8 cubes of equal volume

$\implies$$\large{\rm {\frac{Volume\: of\: cube}{8}}}$

$\implies$Volume of new cube = 216 cm³

The edge of new cube is:-

$\implies$ a³ = 216

$\implies$$\large\bf{<strong> </strong><strong> </strong><strong>a</strong><strong> </strong><strong>=</strong><strong> </strong><strong>6</strong><strong> </strong><strong>c</strong><strong>m</strong><strong> </strong>}$

Thus, the edge of new cube is 6 cm.