Question

the ratio of length,breadth ,height of a cuboid is 3:2:1 . if the volume of the cuboid is48cm3 find the base area of the height

Answer 1

Step-by-step explanation:

ratio = 3:2:1

volume = 48 cm cube

let length of cuboid = 3x

breadth= 2x

height = 1x

volume = l x b x h

48 = 3x X 2x X 1x

$48 = {6x}^{3} \\ {6x}^{3} = 48 \\ {x}^{3} = \frac{48}{6} \\ {x}^{3} = 8 \\ x = \sqrt[3]{8} \\ x = 2cm$

so, height = 1x = 1 x 2cm = 2cm

lenght = 3x = 3 x 2cm = 6cm

breadth = 2x = 2 x 2cm = 4cm

area of base = l x b

= 6cm x 4cm

= 24 cm square