Question

the L,B,H of a cuboid are in the ratio 7:6:5 .if the volume of a cuboid is 5670 cm^2. find the surface area of cuboid

Answer 1

Answer: 1926 m^2

Step-by-step explanation:

L = 5x

B= 6x

H = 7x

Volume = 5x *7x * 6x

5670 = 210x^3

x^3 = 5670/ 210

X^3 = 27m

X = 3m

L= 21m

B= 18 m

H= 15m

Surface area = 2(LB + BH + LH)

= 1926 m^2

Answer 2

let

l=7x

b=6x

h=5x

now, vol of cuboid = 5670

7x*6x*5x=5670

210x³=5670

x³=27

x=3

now,

l=7*3=21 cm

b=6*3= 18  cm

h= 5*3= 15 cm

SA of cuboid = 2(lb*bh*lh)

                       =2(21*18+18*15+21*15)

                      = 2(378+270+315)

                      =2(963)

                      = 1926 cm²

hope it helped u.....

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