Question

The length, breadth, height of a rectangular solid are in ratio of 5:4:2. If total surface area 1216cm².find the length, breadth, height of the rectangular solid.

Answer 1

Answer:

Step-by-step explanation:

Let the length be 5x, breadth be 4x and height be 2x

1216cm^2=2(5x*4x+4x*2x+2x*5x)

1216cm^2=2(20x^2+8x^2+10x^2cm^2)

1216cm^2=2*38x^2cm^2

1216cm^2=76x^2cm^2

1216cm^2/76cm^2=x^2

16cm^2=x^2

x=4cm

Length=5x=5*4cm=20cm

Breadth=4x=4*4cm=16cm

Height=2*4=8cm

Answer 2

Answer:

Let 5:4:2 be 5x, 4x and 2x

Step-by-step explanation:

T.S.A=2(lb+bh+hl)

1216=2(5x*4x+4x*2x+2x*5x)

1216=2*38$x^{2}$

1216=76$x^{2}$

$x^{2}$=1216/76=16

x=4

5x=5*4=20cm

4x=4*4=16cm

2x=2*4=8cm