Question

the length,breadth and height of a cuboid are in the ratio of 5:4:1 .if the volume of cuboid is 540cm³ find the surface area of cuboid​

Answer 1

Answer:

let the

length = 5x

breadth = 4x

height = 1x

volume = 540 cm cube

sol : the volume of cuboid = length ×breadth ×height

540cm cube = 5x × 4x × 1x

540cm cube = 20x cube

540cm cube / 20 cube = x

27cm cube = x

x = 27cm cube

to find

the surface area of cuboid = 2 (lb + bh +hl )

"""""""""""""""" = 2 ( 5x ×4x + 4x × 1x + 1x × 5x)

"""""""""""" = 2( 20x + 4x + 5x)

"""""""""""" = 2( 29x )

""""""""""""" = 85x

so x= 27cm cube

then the surface area of a cuboid is 85 × x

85 × 27 cm cube

2295 cm cube is the surface area of a cuboid