A cube is inscribed in a sphere. If the surface area of the cube is 60 cm2, find the surface area of the sphere.
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A cube's area is 
A sphere's area is
The cube is inscribed directly into the sphere so the radius of the sphere should be the side of the cube.
60/6=10
√10=side of cube
√10²=10
4π10≈125.663
Asn=approx 125.663
A sphere's area is
The cube is inscribed directly into the sphere so the radius of the sphere should be the side of the cube.
60/6=10
√10=side of cube
√10²=10
4π10≈125.663
Asn=approx 125.663
this was the ans. i got
is it ok?/?
Similar questions
From Q; 6a2 = 60
a2 = 10
The diameter of the sphere is the diagonal of the cube.
(diameter)2 = a2 + ( a)2
= 3a2
so diameter = a
so surface area of sphere = 4 (radius)2
= 4 ( a)2
= 3 a2
= 30 cm2