Question

the whole surface of rectangular block is 846cm find the length breath and Height if these dimension are proportional to 5:4:3

Answer 1

Given,

Ratio of LENGTH : BREADTH : HEIGHT =

5 : 4 : 3

Given,

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

LET x be taken common,

Therefore,

846 = 2 ( 5x ×4x + 4x ×3x + 3x ×5x )

$846 = 2 \times 20 {x}^{2} + 12 {x}^{2} + 15 {x}^{2}$
$846 = 2 \times 47 {x}^{2}$
$846 = 94 {x}^{2}$
$9 = {x}^{2}$
Therefore,
$x = 3$

Now substituting the value of x we get =

LENGTH = 5 × 3 = 15 cm
BREADTH = 4 × 3 = 12 cm
HEIGHT = 3 × 3 = 9 cm

Hope this helps !

Answer 2

Answer:

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