Question

A cuboid has a total surface area of 100 metre square on the lateral surface area is 50m square. find the area of base.​

Answer 1

Answer:

25m²

Step-by-step explanation:

Given TSA of cuboid=100m ²

TSA of cuboid =50m ²

we know TSA =2[lb+bh+lh]

& CSA = 2[bh + lh]

Then TSA - CSA = 2[lb + bh + lh] -2 [bh + lh]

100 - 50 = 2lb

[lb=25m ² ]

∴ area of base is 25m ²

Answer 2

25m²

Step-by-step explanation:

=> Total Surface area = 2(lb+bh+hl) = 100

=> lb+bh+hl = 100/2

=> lb+bh+hl = 50 m². ⸻➤ ( 1 )

Lateral surface area = 2( bh+hl)= 50 m²

=> bh + hl = 50/2

=> bh + hl = 25 m² ⸻➤ ( 2 )

now subtract Equation => (1) - (2)

=> lb + bh + hl - bh - hl = 50 - 25

[ here , ' + bh ' get canceled with '- bh ' and similarly ' hl ' also ]

so, we are left with -

=> lb = 25 m²

=> area of base = l × b

⠀⠀⠀⠀⠀⠀⠀⠀⠀= 25 m²