Heya guys........
Pls answer my question......
A sphere is melted to 49 cubes with edge 3cms.find the volume of sphere..
Pls answer with explanation...
Answers
Step-by-step explanation:
we have ,
edge of cube is equals to = 3cm
and ,number of cube is equals to 49
so volume of 1 cube is = (3cm)³
=27cm³
volume of 49 cube is = 49×27 cm³
=1323. cm³
when the sphere is melted then its volume doesn't change so the volume of all cube made by sphere is also equal to the volume of sphere
for the volume of sphere is equals to. = 1323cm³
Answer:
Step-by-step explanation:
Volume of new cube = Sum of volume of all three cubes
=3
3
+4
3
+5
3
=27+64+125=216 cm
3
∴ Volume of new cube =216=l
3
⟹l=6 cm
(ii) Total surface area of the new cube
=6a
2
=6(6
2
)
=216 cm
2
(iii)
Total surface area of the first cube with edge 3cm
=6a
2
=6×9=54 cm
2
Total surface area of the 2
nd
cube with edge 4cm
=6b
2
=6×16=96 cm
2
Total surface area of the 3
rd
cube with edge 5cm
=6c
2
=6×25=150 cm
2
Sum of total surface area of these three cubes
=54+96+150
=300cm
2
The difference between the total surface area of the new cube and the sum of total surface areas of the original three cubes =300−216=84 cm
2
Hence, the difference is 84 cm
I think it's correct
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