Mensuration Practice Test 4

Question : 33 of 40

Marks: +1, -0

Find the total surface area of the largest possible cube inscribed in a hemisphere with the radius of 12 cm.

Solution:

Edge of the cube = radius

√{2/3}

12 √2/√3

4√6

cm
Total surface area of the cube =

6a^2

6×(4√6)^2

= 6 × 16 × 6 = 576

cm^2

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