Math, asked by Aika, 1 year ago

A cube is inscribed in a sphere. If the surface area of the cube is 60 cm2, find the surface area of the sphere.

Answers

Answered by IndieLov

A cube's area is $6a^2$
A sphere's area is $\frac{4}\pi r^2$

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

Aika: Surface area of cube = 6a2 (a is length of a side)
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

Aika: this was the ans. i got

Aika: is it ok?/?

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