Question

The length, breadth and height of a cuboid are in the ratio 6 : 5 : 3. If its total surface area is 504 cm2; find its dimensions. Also, find the volume of the cuboid.​

Answer 1

Step-by-step explanation:

surface area of cuboid = 2(lh+lb+hb)

substituting ratios instead of sides

2(6y×3y+6y×5y+3y×5y) = 504

2(18y^3+30y^2+15y^2) = 504

2(63y^2) = 504

126y^2 = 504

y^2 = 504/126

y^2 = 4

y = 2

length = 6y = 12

breadth = 5y = 10

height = 3y = 6

to find volume :

12×10×6 = volume

720 = volume

hence 720 is volume of that cuboid

Answer 2

Volume of the cuboid

= l×b×h

= 12×10×6

= 720 $\rm cm^3$

Answer refers in attachment.

It helps you.