Question

13. A metal cuboidal block with dimensions
2 m x 1.5 m x 22.5 cm is melted and made
into 200 cubes. What is the length of edge of
each cube?​

Answer 1

Answer:

15 cm

Step-by-step explanation:

Given----> Dimensions of metal cuboidal block are 2m × 1.5m × 22.5cm is melted and 200 cubes are made.

To find----> Edge of each cube.

Solution----> ATQ,

Dimensions of cuboidal block are

2m × 1.5m × 22.5cm

Length = 2m , Breadth = 1.5m ,

Height = 22.5cm = 22.5 /100 = 0.225 m

Volume of cuboidal block = l × b × h

= 2 × 1.5 × 0.225

= 1.5 × 0.450

= 0.675 m³

We know that 1m³ = 1000000 cm³

Volume of cuboidal block = 0.675 m³

= 0.675 × 1000000

= 675000 m³

Let edge of small cube forned be x.

Volume of one small cube = edge³

= x³

200 small cubes are made by melting cuboidal block.

So,

Volume of one cuboidal block = 200 × Volume of one small cube

=> 675000 = 200 ( x³ )

=> 675000 = 200 x³

=> x³ = 675000 / 200

=> x³ = 3375

=> x³ = 15 × 15 × 15

=> x³ = 15³

=> x = 15 cm

Edge of each one small cube = 15 cm

#Answerwithquality

#BAL