Question

The surface area of a cuboid is 1372 sq cm if its dimensions are in ratio 4:2:1, find them

Answer 1

Answer:

Length= 4*7 = 28 cm

Breadth= 2*7 = 14 cm

Height= 7*1 = 7 cm....

Step-by-step explanation:

Let

Lenght of the cuboid be 4x cm

Breadth of the cuboid be 2x cm

height of the cuboid be x cm

Now ,

Given that surface area of cuboid is 1372 sq cm

but TSA of cuboid is 2(lb + bh + lh)

So , ATTQ

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

2(8x^2 + 2x^2 + 4x^2) = 1372

2(14x^2) = 1372

28x^2 = 1372

x^2 = 49

x = 7

Hence :

Length= 4*7 = 28 cm

Breadth= 2*7 = 14 cm

Height= 7*1 = 7 cm....

HOPE IT HELPS!!!!!