Question

A cubical wooden block of length 12cm is cut into 8 equal cubical pieces. Find the length of edge of each piece.

Answer 1

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Answer 2

$\bf{\huge{\underline{\boxed{\sf\purple{Answer:6\:cm}}}}}$

$\huge\underline{\underline{\tt Explanation:}}$

$\sf{\green{\underline{Given:}}}$

• Cubical wooden block was cut into 8 equal pieces.
• Length of the cubical wooden block = 12 cm

$\sf{\green{\underline{To\:Find:}}}$

• The side of new cube.

$\textbf{\underline{\underline{Solution:}}}$

Cubical wooden block of side 12 cm was cut into 8 equal cubical pieces. Let each cubical piece has side ' x '. AS these cubes were cut into equal pieces. So, It's obvious that they have equal volume.

→ volume of cubical wooden block = volume of 8 equal cubes

→ Volume of cube = ( side )³

Now,

( 12 )³ = 8 ( x )³

→ 1728 = 8x³

→ $x^3 =\dfrac{1728}{8}$

→ $x^3 =216$

→  x = ∛216

∴ x = 6

Hence, Length of each piece is 6 cm.