Question

a metal cuboidal block with dimensions 2m×1.5m×22.5cm is melted into 200cubes. what is edge length of each cube. ​

Answer 1

Step-by-step explanation:

Breadth of cuboidal block = 1.5 m

Height of cuboidal block = 22.5 cm= 0.225 m

Volume of cuboidal block = Length \times Breadth \times Height = 2 \times 1.5 \times 0.225=0.675 m^3Length×Breadth×Height=2×1.5×0.225=0.675m

3

A metal cuboidal block with dimensions 2m x 1.5m x 22.5cm is melted and made into 200 cubes.

Volume of 1 cube =\frac{0.675}{200}=0.003375 m^3

200

0.675

=0.003375m

3

Volume of cube = Side^3Side

3

So,Side^3 =0.003375Side

3

=0.003375

Side=\sqrt[3]{0.003375}Side=

3

0.003375

Side=0.15 m

Hence the length of each cube is 0.15 m

#Learn more:

The dimensions of a metal block are 2.25m by 1.5m by 27cm.It is melted and recast into cubes,each of side 45cm.how many cubes are formed?