Question

The dimensions of a cuboid are in the ratio 4:3:2 . If the total surface area of cuboid is 4212 sq. m; find the volume of cuboid.

Answer 1

Ratio of l:b:h=4:3:2 Let l=4x m b=3x m h = 2x m Total surface area = 4212sq m 2(lb+bh+lh)=4212 2(4x*3x+3x*2x+2x*4x)= 4212 2(12x^2+6x^2+8x^2)=4212 2*26x^2=4212 x^2=4212/(2*26) After cancellation x^2 =81 x^2 = 9^2 x=9 Therefore l=4x =4*9=36m b=3x =3*9=27m h=2x =2*9= 18m Volume of a cuboid = l*b*h = 36m *27m * 18m =17496 m^3

Answer 2

Answer:

Step-by-step explanation: