Question

If the length breadth and height is cubit of a the ratio 5 is to 4 is to 3 and its total surface of a area 376 square find the dimension of the cuboid

Answer 1

Answer:

given: TSA = 376 cm^2

let the length be 5x breadth 4x and height 3x

NOW

TSA = 2(lh+lb+bh)

376 = 2{(5x)(3x)+(5x)(4x)+(4x)(3x)

376 = 2(15x^2+20x^2+12x^2)

376/2 = 47x^2

188 = 47x^2

x^2 = 188/47

x^2 = 4

x^2 = 2

Now by substituting the value we get:

length=  5*2 = 10 m

breadth = 4*2 = 8 m

height =  3*2 = 6 m

hope it helps you