Question

The dimensioms of a cuboids are in the ratio 3:4:5 if TSA is 376m² then its LSA is​

Answer 1

Answer:

total surface area of cuboid =2(lb+bh+hl)

given ,total surface area= 376let length,breadth and height= 3x, 4x, 5x

then TSA=2(3x ×4x+4x×5x+5x×3x )

376= 2(12x²+20x²+15x²)

376=2(47x²)

376=94x²

x² =376 ÷94

x²=4

x=2then

length=3x=3×2=6

similarly, breadth=8

height=10

then

LSA=2(l+b)h

2(6+8)10= 2(14)10

=280sqm