Question

the length, breadth and height of a cuboid are in the ratio of 5:3:2. the volume of the cuboid is 15360 cm cube. find the length, breadth and height of the cuboid​

Answer 1

Given :-

Ratio of length, breadth and height = 5 : 3 : 2

length = 5x

breadth = 3x

height. = 2x

Volume of cuboid = 15,360 cm³

To Find :-

length = (?)

breadth = (?)

height = (?)

Explanation :-

Volume of cuboid = length × breadth × height

15360 = 5x × 3x × 2x

15360 = 30x³

30x³ = 15360

x³ = 15360

30

x³ = 512 cm³

x = 3√512 cm³

x = 8 cm

• Length = 5x

= 5 ( 8 )

= 40 cm

• breadth = 3x

= 3 ( 8 )

= 24 cm

• height = 2x

= 2 ( 8 )

= 16 cm

Answer : Length = 40 cm

breadth = 24 cm

height = 16 cm

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