the total surface area of a cuboid is 40 metre square and its lateral surface area is 26 metre square find area of the floor
Answers
Answered by
4
ANSWER :
TSA = 2lb + 2bh + 2hl
LSA = 2hl + 2bh
TSA - LSA = 2lb + 2bh + 2hl - (2hl + 2bh)
=> 2lb + 2bh + 2hl - 2hl - 2bh
=> TSA - LSA = 2lb...... (1)
But given that TSA = 40 m^2 and LSA = 26 m^2
Therefore, TSA - LSA = 40 m^2- 26 m^2 = 14 m^2
But TSA - LSA = 2lb (From 1)
=> 14 m^2 = 2lb
=> lb = 14 / 2 = 7 m^2
=> lb = 7 m^2
Therefore, area of floor is 7m^2
Hope this helps you mate☺☺
Similar questions