Question

5. The length, breadth and height of a cuboid are in the ratio 5:3 : 2. Find the dimensions of
the cuboid if its surface area is 558 cm
2​

Answer 1

Step-by-step explanation:

Let the length be 5x

Breadth be 3x

height be 2x

surface area= 588 cm sq.

applying formula-

2(lb +bh + lh) =588cm sq

2( 5x×3x + 3x×2x + 5x×2x) =588cm sq

2( 15xsq + 6xsq + 10xsq) = 588cm sq

2× 31xsq =588cmsq

64xsq= 588cm sq

x= 588/64

x= 9.18

so, length= 5× 9.18= 45.9cm

breadth= 3×9.18=27.5 cm

height= 2×9.18= 18.3 cm

NOTE: sq= square

Answer 2

Answer:

l=15, b=9, h=6

Step-by-step explanation:

Let the length breadth and height be

l=5x, b=3x, h=2x

Total surface area of cuboid=2(lxb+bxh+hxl)

$558 = 2( {15x}^{2} + {6x}^{2} + 10x) \\ \frac{558}{2} = {31x}^{2} \\ 279 = {31x }^{2} \\ \frac{279}{31} = {x}^{2} \\ 9 = {x}^{2} \\ \sqrt{9} = x \\ 3 = x$

length=5x = 5×3= 15

breadth=3x=3×3= 9

height=2x=2×3= 6

PLZ MARK BRAINLIEST

ANSWERS ARE CORRECT✅