Question

11. The dimensions of a cuboid are in the ratio 11:10:2. What is the length, breadth and height of the
cuboid, if its body diagonal is 30cm long?
(a) 11cm, 10cm, 2cm
(b) 44cm, 40cm, 8cm
(c) 33cm, 30cm, 6cm
(d) 22cm, 20cm, 4cm​

Answer 1

Answer:

The dimension of the cuboid are

22 cm, 20cm, 4 cm

option (d) is correct

Step-by-step explanation:

Let l,b and h be the length, breadth and height of cuboid respectively

Given:

l:b:h=11:10:2

Then,

l=11k

b=10k

h=2k

Also, Length of the diagonal = 30 cm

$\bold{\sqrt{l^2+b^2+h^2}=30}$

$\implies\:\sqrt{(11k)^2+(10k)^2+(2k)^2}=30$

$\implies\:\sqrt{121k^2+100k^2+4k^2}=30$

$\implies\:\sqrt{225k^2}=30$

$\implies\:15k=30$

$\implies\:k=2$

Therefore, the dimension of the cuboid are

l=11(2)=22 cm

b=10(2)=20cm

h=2(2)= 4 cm

Answer 2

Answer:

the answer will be (d)22cm,20cm,4cm

Step-by-step explanation:

hope it helps

thanks have a nice day