If the volume of a sphere inscribed in a cubic box is 36pi, find the surface area of the box
1 answer:
Answer:
Surface area of the cube = 216 square units
Step-by-step explanation:
Let the length of a side of a cube = x unit
Diameter of the sphere inscribed in this cube = length of a side of the cube
Volume of the sphere =
Where r = radius of the sphere = units
36π =
36π =
36×24 = 4x³
x =
x = 6 units
Length of a side of the cube = 6 units
Surface area of the cube = 6×(Side)²
= 6×(6)²
= 216
= 216 square units
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