Math, asked by pareek2003, 1 year ago

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

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Answers

Answered by Lily200
5

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!!!

Answered by SnowySecret72
5

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

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