Question

the length breadth and height of a rectangular solid is in a ratio 3:2:1. if the volume of the box is 48 cm square find the tsa.​

Answer 1

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RATIO: 3:2:1

let the length breadth height be 3x 2x x respectively

thus,

3x*2x*x=6x3

6x3=48

x3=8                         (divide lhs and rhs with 6)

x=root 8

x=2

therefore length=6cm

                breadth=4cm

               height= 2cm

tsa= 2(lb+bh+lh)

     = 2(24+8+12)

       2(44)

        88 cm2

HOPE I HELPED YOU

Answer 2

Answer:

88 cm^ 2

Step-by-step explanation:

let the length breathe and height be 3x,2x,x.

volume =48 cm ^ 3

3x*2x*x =48

6x^3=48

x^3=8

x=2

total surface area

2(lb+bh+lh)

2(3x*2x+2x*x+3x*x)

2(6x^2+2x^2+3x^2)

2(11x^2)

put the value of x

2(11*2*2)

88cm^2