The surface area of a cuboid is 1372 cm2. If the ratio length : breadth : height is 4:2:1, then its length (in cm) is
28
S.A. = 1372 cm2 (Given)
⇒2(l×b+b×h+l×h)=1372
[∵ Surface area of a cuboid of dimensions l×b×h is given by 2(lb+bh+lh).]
Also, it is given that l:b:h=4:2:1.
Let l=4k, b=2k and h=k.
Then, 2(4k×2k+2k×k+4k×k)=1372
⟹28k2=1372
⟹k2=49
⟹k=7
∴l=4k=4×7=28 cm