Question

The lateral surface area of a solid rectangular box is 520 cm2

and its length , breadth

and height

are in the ratio 9:4:5. Find the total surface area of the box.​

Answer 1

Answer:

808cm2

Step-by-step explanation:

let the length be 9x

breadth be 4x

and height be 5x

L.S.A=520CM2

2(l+b)×h=520

2(9x+4x)×5x=520

2×13x×5x=520

x2=520/2×13×5

x=√4=2

l=9×2 =18

b=4×2=8

h=5×2=10

t.s.a =2(lb+bh+lh)

=2(18×8+8×10+10×18)

=2(144+80+180)

=2×404

=808cm2