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Total Surface Area of a Cuboid

a cuboid nb...

Question

a cuboid has total surface area of 372 sq. cm and its lateral surface area is 180 sq.cm .find the area of its base.

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Solution

Dear student,

$T . S . A O f c u b o i d - L . S . A o f c u b o i d = a r e s o f b a s e + a r e a o f t o p 2 (l h + b h + l h) - 2 h (l + b) = 372 - 180 = 192 2 l h + 2 b h + 2 l h - 2 l h - 2 b h = 192 o n s o l v i n g w e g e t, 2 l b = 192 \Rightarrow l b = 192 c m^{2} = a r e a o f b a s e$

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