Question

A wooden Block measures 24cm multiply 18cm multiply 15cm. how many cubical blook can be cut from it if each side of the cube is 6cm.

Answer 1

Answer:

The Number of Cubes formed are 30.

Step-by-step explanation:

Given :

Dimensions of the block = 24 cm × 18 cm × 15 cm

Side of the cube = 6 cm

To find :

Number of Cubes of 6 cm formed from the block

Solution :

$\boxed{\sf{Number \: of \: cubes = \frac{Volume\:of\:Block}{Volume\:of\:each \: Cube}}}$

$\rule{300}{1.5}$

★ $\textsf{\underline{\underline{Volume of Cuboid (Wooden block) : }}}$

$\sf{Volume = \purple{Length \times Breadth \times Height}}$

$\sf{\implies} \: 24 \times 18 \times 15 \\ \\ \sf{\implies} \: 24 \times 270 \\ \\ \sf{\implies} \: 6480 \: cm^{3}$

Volume = 6480 cm³

$\rule{300}{1.5}$

★ $\textsf{\underline{\underline{Volume of Cube :}}}$

$\sf{Volume = \purple{{Side}^{3}}}$

$\sf{\implies} \: {6}^{3} \\ \\ \sf{\implies} \: 216 \: {cm}^{3}$

Volume =216 cm³

$\rule{300}{1.5}$

★ $\textsf{\underline{\underline{Number of Cubes : }}}$

• Volume of Cuboid = 6480 cm³
• Volume of Cube = 216 cm³

$\sf{\implies} \: \dfrac{6480}{216} \\ \\ \sf{\implies} \: 30$

Cube blocks formed = 30

$\therefore$ The Number of Cubes formed are 30.