Question

the length, breadth and height of a cuboid are in the ratio 6:5:3 .if the total surface area s 504 cm square, find its dimension. also find the volume of the cuboid

Answer 1

t.s.a. of cuboid = 2(lb+bh+hl) 2(6x×5x+5x×3x+3x×6x)= 504
(30x^2+ 15x^2+18x^2)= 252
x^2= 252/63
x= 4
l=24 cm
b=20 cm
h= 12 cm
volume of cuboid= l×b×h = =5760 cm cube