Question

the leangth,breadth and height of a cuboid are 4:3:2. if its surface area is 2548 cm^2,find its volume
if it's volume is 3000m^3 find its surface area

Answer 1

l=4x, b= 3x, h= 2x, S.A. of cuboid= 2548= 2(lb+bh+hl)= 2(4x into 3x+ 3x into 2x +2 x into 4x), by solving it we get x=7, then vol. of cuboid= l into b into h= (4 into 7)(3 into7)(2 into7)= 8232 cm cube this is a answer) and if vol. is 3000 m cube then vol. of cuboid= (4x)(3x)(2x)=3000, then x=5 root 5, then S.A. of cuboid= 2(4 into 5 root5 + 3 into 5 root 5 + 2 into 5 root 5), the 5 root 5 is common therefore =2 into 5 root 5( 4+3+2),=10 root 5(10), the answer is 100 root 5 m square (Please mark it as a brainiest). I hope it helps you.