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?
Answers
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
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