Question
Download Solution PDFThere is wooden sphere of radius
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The radius of the sphere, r = 15√3 cm
Concept:
The total surface area of a cube = 6 × (edge length)2.
Length of the main diagonal of cube = (edge length)√3
Solution:
The diameter of the sphere = Length of the main diagonal of the cube.
2 ×
a = 30 cm
Total surface area of the cube = 6 × (edge length)2
Total surface area of the cube = 6 × (30)2 = 5400 cm2.
Hence, the total surface area of the largest possible cube cut out from the sphere will be 5400 cm2.
Last updated on Jun 26, 2025
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