Q29. 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
Answered by
1
Answer:
Side of new cubes = 6 cm.
surface area of bigger cube: surface area of smaller cube=4:1.
Step-by-step explanation:
find find the volume of the solid cube then divided by 8 then cube root the number your get 6 cm.
for surface area:
6A²:6a²
where a is the side of smaller cube and A is the side of bigger cube.
Answered by
1
Answer:
Side of new cube = 6 cm
Ratio of surface areas = 4:1 ( big cube : new cube) or 1 :4 ( new cube : big cube)
Step-by-step explanation:
Volume of big cube = 12^3
= 1728 cm^3
Volume of one small cube = 1728/8
= 216 cm^3
=> side of small cube = cube root of 216
= 6 cm
Total surface area of large cube = 6*side^2
= 6*12^2
= 864 cm^2
Total surface area of new cube = 6*side^2
= 6*6^2
= 216 cm^2
ratio = 864/216
4/1
ratio of surface area of big cube : surface area of new cube = 4 : 1
or
ratio of surface area of new cube : surface area of big cube = 1 : 4
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