Question

The whole surface Of rectangular Block is 846 cm2. Find length, breadth, height, if these dimensions are in the ratio 5:4:3

Answer 1

let,
take ratios is in the form if x.
Now,
You can take help of the formula of CSA and you can get the answers or value of it's length, breadth and height.

plzz mark it as brainliest

Answer 2

Given,

Ratio of LENGTH : BREADTH : HEIGHT =

5 : 4 : 3

Given,

$\rm T.S.A = 2 ( LB + BH + LH )$

LET x be taken common,

Therefore,

$\implies\rm 846 = 2 ( 5x \times 4x + 4x \times 3x + 3x \times 5x )$

$\implies\rm 846 = 2 \times 20 {x}^{2} + 12 {x}^{2} + 15 {x}^{2}$

$\implies\rm 846 = 2 \times 47 {x}^{2}$

$\implies\rm 846 = 94 {x}^{2}$

$\implies\rm 9 = {x}^{2}$

Therefore,

$\implies\rm x = 3$

Now substituting the value of x we get =

$\implies\rm LENGTH = 5 × 3 = 15 cm$

$\implies\rm BREADTH = 4 × 3 = 12 cm$

$\implies\rm HEIGHT = 3 × 3 = 9 cm$