Three metal cubes of sides 4cm, 3cm and5 cm respectively are melted and reconstructed into a new cube. Find the side of new cube
Answers
Answer:6
Step-by-step explanation:
Let side of new cube be x
Then volume of new cube=sum of volumes of 3 cubes
x^3=4^3+3^3+5^3
=64+27+125
=216
=6^3
x=6
ANSWER:-
GIVEN:
__________
Among Three metal cubes ,
the side of the 1st cube is 4 cm.
the side of the 2nd cube is 3 cm.
the side of the 3rd cube is 5cm.
TO FIND:
____________
The side of the new constructed cube .
SOLUTION:
_______________
As we know the reconstructed cube's volume is equals to the total volumes of the other cubes.
the volume of the cube is a^3.
The volume of the 1st cube is=(4)^3=64cm^3
The volume of the 2nd cube is =(3)^3=27cm^3
The volume of the 3rd cube is=(5)^3=125 cm^3
let the side of the new cube is a.
The total volume of the cubes =the volume of the new cube
=>(64+27+125)cm^3= a^3
=>216cm^3=a^3
=>a^3=216cm^3
=>a^3=(6)^3cm^3
=>a=3√(6)^3cm^3
=>a=6cm
so the side of the reconstructed cube is 6cm.