The length, breadth and height of a cuboid are in the ratio $4 : 2 : 1$ and its total surface area is $1372 m^{2}$ . Find the dimensions of the cuboid.

Open in App

Solution

Let l,b,h be 4x,2x,x
TSA=2(lb+bh+hl)
$1372 = 2 (8 x^{2} + 2 x^{2} + 4 x^{2})$
$686 = 14 x^{2}$
$49 = x^{2}$ so x=7
l,b,h = 28,14,7

Suggest Corrections

Similar questions

Q. The total surface area of a cuboid is 63200

c m^{2}

and its length, breadth and height are in the ratio 8:5:3. Find the dimension of the cuboid.

Q. The length, breadth and height of a cuboid are in the ratio of 5:3:4, If the total surface area of the cuboid is

1504 c m^{2}

, then find the dimensions of the cuboid(in

c m

The length, breadth and height of a cuboid are in the ratio 5:3:2. If its volume is 35.937 m³, find its dimension. Also find the total surface area of the cuboid.

Q. The length, breadth and height of a cuboid are in the ratio 5:4:2. If the total surface area is 1216 cm², Find the dimensions of the solid.

Join BYJU'S Learning Program

The length, breadth and height of a cuboid are in the ratio 4:2:1 and its total surface area is 1372 m2. Find the dimensions of the cuboid.

Let l,b,h be 4x,2x,xTSA=2(lb+bh+hl)1372=2(8x2+2x2+4x2)686=14x249=x2 so x=7l,b,h = 28,14,7

The length, breadth and height of a cuboid are in the ratio $4 : 2 : 1$ and its total surface area is $1372 m^{2}$ . Find the dimensions of the cuboid.

Let l,b,h be 4x,2x,x
TSA=2(lb+bh+hl)
$1372 = 2 (8 x^{2} + 2 x^{2} + 4 x^{2})$
$686 = 14 x^{2}$
$49 = x^{2}$ so x=7
l,b,h = 28,14,7