Question

A cuboid has a TSA of 100m square and it's LSA is 50m Square . Find area of its base?

Answer 1

this is just example
A cuboid has a total surface area of 40mand its lateral surface area is 26m. Find the area of the base?

T.S.A. OF CUBOID = 2 ( lb + bh + hl ) = 40 m 2(given)

==> lb + bh + hl = 40 m 2 / 2 = 20 m 2

==> lb + bh +lh  = 20 m2 --------- (1)

C.S.A OF CUBOID = 2 ( l+b ) h = 26 m 2 ( given )

= ( l+b ) h = 26 m2 / 2 = 13 m 2 .

==> lh +bh = 13 m 2. ------------------(2)

FROM (1) AND (2),

==> lb + 13 m 2 = 20 m 2.

==> lb = 20 m 2 - 13 m 2 =  7 m 2.


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Answer 2

TSA is sum of all areas of 6 planes of cuboid....

CSA is sum of area of 4 planes excluding top and base area....

So,

TSA - CSA = 2 * base area

So, base area = (100 - 50)/2

= 25 m^2....



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