divanshumaurya16036
divanshumaurya16036 divanshumaurya16036
  • 17-02-2021
  • Mathematics
contestada

the Length breadth and height of a cuboid are in the ratio 4 ratio 2 ratio 1 and total surface area is 1372 metre square find the dimensions of the cuboid​

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ADVENTUROUSBOY
ADVENTUROUSBOY ADVENTUROUSBOY
  • 17-02-2021

dimensions are 196m, 98m, 49m

Step-by-step explanation:

let the dimensions be in x

so, dimensions are =

length ( L ) = 4x

breadth ( B ) = 2x

height ( H ) = x

surface area = 2 ×( LB + BH + LH )

1372m² = 2 ×( 4x *2x + 2x *x + x * 4x )

1372m² = 2 ×( 8x + 2x + 4x )

1372m² = 2 ×( 14x)

1372m²÷2 = 14x

686m² = 14x

686m² ÷14 = x

49 = x

so, therefore

length = 4x => 4 ×49 => 196m

breadth = 2x => 2 ×49 => 98m

height = x => 49m

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