Question

HOLLA FRIENDSS❤❤❤YOUR QUESTION IS HERE :---> Give me its solution !!

Q.8. A solid cube of side 12cm is cut into 8 cubes of equal volume. What will be the side of the new cube ? Also, find the ratio between their surface areas .

Answer 1

let name as old and new

Volume of old cube =a³
⇒(12)³=1728 cm³
No.of cubes =8
Volume of old cube = 8* volume of 1 new cube
1728=8*a³
1728/8=a³
12/2=a
6 cm=a
Surface area of old cube/ surface area of new cube=6*(12)²/6*(6)²
=144/36=4/1=4:1

hope you got ur answer mark as brinliest if possible

Answer 2

hey mate here is your answer ✌♥✌♥

side of bigger cube=12cm

so volume=side ³

=12³

=1728cm³

now let the side of smaller cube=X

so volume=x³

now by the given condition

v(bigger cube)=8v(smaller cube)

1728=8(x³)

x³=1728/8

x³=216

X=6cm

so surface area of bigger cube=6l²

=6(12)²

=6×144

=864cm²

and the surface area of smaller cube=6l²

=6(6)²

=6×36

=216cm²

so

surface area of bigger cube: surface area of smaller cube=4:1

hope it will be helpful to you ✔✔✔✔

mark me brainliest ✌✌✌✌