Question

The dimensions of a cuboid are in the ratio 4:3:2and its total surface area 468 cm square

Answer 1

Answer:

Step-by-step explanation:

let dimensions of cuboid are

length = l=4x cm

width = w =3x cm

height = h = 2x ( since given ratio 4:3:2)

total surface area = 208 cm

2(lw+wh+hl) = 208

2[4x*3x+3x*2x+2x*4x] =208

2[12x²+6x²+8x²]=208

2*26x²=208

52x²=208

x²=208/52

x²=4

x=2

therfore

l=4x=4*2 =8cm

w=3x=3*2=6cm

h=2x=2*2=4cm