Question

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?
(b) 44cm, 40cm, 8cm
a) 11cm, 10cm, 2cm
(d) 22cm, 20cm, 4cm
-) 33cm, 30cm, 6cm​

Answer 1

Answer:

(b) 44cm, 40cm, 8cm

a) 11cm, 10cm, 2cm

(d) 22cm, 20cm, 4cm

-) 33cm, 30cm, 6cm

all are correct

Answer 2

Answer:

The correct answer is (d) length= 22cm, breadth= 20cm, height= 4cm.

Step-by-step explanation:

The formula for finding the diagonal of a cuboid is :

D = √(l^2+b^2+h^2), where D is the diagonal, l is length, b is breadth and h is height of the cuboid

Here ratio of l:b:h = 11:10:2

D= 30cm

So, putting the values in the formula-

30 = √(11x^2+10x^2+2x^2)

30 = √ 225 x^2

So, 15x = 30

So, x = 2

Hence, length= 22cm, breadth= 20cm, height= 4cm