Answer:
Explanation:
Length : Breadth : height = 3 : 4 : 6
Length = 3x
Breadth = 4x
Height = 6x
Volume of cuboid = 576 sq.cm
length * breadth * height = 576
3x * 4x * 6x = 576
72x³ = 576
x³ = 576/72
x³ = 8
x³ = 2³
x = 2
Length = 3*2 = 6 cm
Breadth = 4* 2 = 8 cm
Height = 6*2 = 12 cm
Total surface area = 2*(lb + bh + hl)
= 2 * (6*8 + 8*12 + 12*6)
= 2 * (48 + 96 + 72)
= 2 * 216
= 432 sq.cm