a solid cube of side 12 cm is cut into eight cubes of equal volume.What will be the side of the new cube ? also , find the ratio between their surface areas
Answers
Answer:
Step-by-step explanation:
side of solid cube = 12 cm
therefore vol of solid cube = a ^3 = 12^3 = 1728
total small cubes = 8
therefore vol of small cube = 1728/8
=216
a^3 = 216
side of small cube = cube root of 216
= 6 cm
ratio of surface area = 6a^2 of solid cube : 6a^2 of small cube
= 864 : 216
= 864/216
= 4/1
=4:1
i hope this is the answer!!!
Answer:
Side=6 cm and ratio=4:1
Explanation:
Cube of side=12 cm
we know that
volume of cube=(s)^3
=(12)^3
=1728 cm^3
Volume of small cubes=1728/8 cm^3
=216 cm^3
Let each side of the new cube be a
Then it's volume=a^3 cm^3
a^3=216
a=(6)^3
a=6
The side of the new cube=6cm
_______________
surface area of big cube={6×(12)^2}
= 6×144 cm^2
=864 cm^2
Surface area of the smaller cube
={6×(6)^2}cm^2
=(6×36) cm^2
=216 cm^2
Ratio between the surface area of big cube and small cube
=864:216
=864/216
=4/1
=4:1