Question

If the length, breadth, height of a rectangular block are in the ratio 7:4:3 and it's volume is 2268 cu cm, find its dimensions.​

Answer 1

Answer:

Step-by-step explanation:

Let the length be 7x cm

breadth = 4x cm

height = 3x cm

volume of the rectangular block = length * breadth * height

2268 = 7x*4x*3x

2268 = 84x^3

2268/84 = x^3

27 = x^3

x = 3

length = 7*3= 21cm

breadth = 4*3 = 12cm

height = 3*3= 9cm

Answer 2

Answer:

Let the dimensions be 7x, 4x ,3x

Volume= L×B×H

2268= 7×4×3× x^3

2268/84=x^3

27=x^3

3=x (Cube root of 27 =3)

Length = 7x= 7×3=21

Breadth = 4x=4×3=12

Height = 3x=3×3=9

Hope It helps you...