Question

a cuboid has total surface area of 80m and its lateral surface area is 56m. find area of its base

Answer 1

Hey there !!

➡ Given :-

→ TSA of cuboid = 40 m² .

→ LSA of cuboid = 26 m² .

➡ To find :-

→ Area of the base .

▶ Answer:

We have,

LSA of cuboid = 26m² .

=> 2( l + b )h = 26 .

=> 2lh + 2bh = 26 ............(1) .

▶Now,

TSA of cuboid = 40m² .

=> 2( lb + bh + hl ) = 40 .

=> 2lb + 2bh + 2hl = 40 .

=> 2lb + 26 = 40. [ Using (1) . ]

=> 2lb = 40 - 26 .

=> 2lb = 14 .

=> lb = 14/2 .

•°• lb = 7 m² .

✔✔ Hence, area of base is 7 m² ✅✅.

THANKS

#BeBrainly.

Answer 2

given

total surface area = 80m^2

=2(lb+bh+ lb)=80m^2

lb+ bh +lb=40 m^2________(1)

lateral surface area =52 m^2

2h (l+b) = 26m^2

lb+bh =26m^2_____(2)

substitute (2) in(1)

lb + 26 =40m^2

lb=14m^2