Question

How many metal cubical blocks of sides 30cm can be cast by melting a rectangular piece of metal 3m multiply 75cm multiply 60cm?

Answer 1

Answer:

50

Step-by-step explanation:

Hi,

Given that we nee to make a metal cubical blocks of side 30 cm.

Given a rectangular piece of metal 3 m x 75 cm  x 60 cm

⇒Volume of the rectangular metal = 3* 100 * 75 * 60 cm³

⇒ Volume of rectangular metal = 13,50,000 cm³

Let the number of cubical metal blocks that could be made be 'x'.

SInce, cubical metal has side 30 cm , it's volume would be

= 30 * 30 * 30 cm³

= 27,000 cm³.

Entire volume of all the cubical blocks will be = 27,000 x

But these blocks should be casted out from rectangular block

⇒27,000 x = 13,50,000

⇒ x = 50

Hence, 50 metal cubical blocks can be cast from given rectangular block..

Hope, it helepd !

Answer 2

Solution:

Given rectangular piece of dimensions

$3 \: m \times 75 \: cm \times 60 \: cm \\ \\l = 300 \: cm \\ b = 75 \: cm \\ h \: = 60 \: cm$
it is a cuboid,whose volume is given by the formula
$l \times b \times h \\ \\ = 300 \times 75 \times 60 \\ \\ = 1350000 \: {cm}^{3}$
To convert this metallic volume in the cubic shapes of 30 cm side,

divide the volume of cube to that calculate Volume of cuboid

$Total\:cubes= \frac{135000}{30 \times 30 \times 30} \\ \\ = 50 \: cubes$
Thus in total 50 cubes are to be recast.

Hope it helps you.