The sum of perimeters of the six faces of a cuboid is 72 cm and the t…

Question

The sum of perimeters of the six faces of a cuboid is 72 cm and the total surface area of the cuboid is 16 cm2. Find the longest possible length that can be kept inside the cuboid :

Accepted Answer

Option C. 8.05 cm. Answer & Solution Answer: Option C Solution: Sum of perimeters of the six faces : & = 2 [ 2 ( l + b ) + 2 ( b + h ) + 2 ( l + h ) ] & = 4 ( 2l + 2b + 2h ) & = 8 ( l + b + h ) Total surface area = 2 ( lb + bh + lh ) & 8 ( l + b + h ) = 72 & l + b + h = 9 & 2 ( lb + bh + lh ) = 16…