Question

Find the maximum length of the rod that can be placed in a cuboid of dimensions 22.5cm×10cm×7.5cm.

Answer 1

Answer:25.73 cm

Step-by-step explanation:

maximum length = diagonal of the cuboid

diagonal=root{l*l+b*b+h*h}=root( 506.25+100+56.25)=25.73 cm

Answer 2

Answer:

The maximum length of the rod that can be placed in a cuboid is 25.73 cm

Step-by-step explanation:

Given,

dimensions of cuboid = 22.5 cm * 10 cm * 7.5cm

We know,

maximum length of rod = length of diagonal of the cuboid

Length of diagonal of cuboid is given as :

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

where,

l is the length of the cuboid,

b is the breadth of cuboid and

h is the height of the cuboid

Substituting the values in the formula,

d = $\sqrt{22.5^{2}+10^{2} +7.5^{2} }$

d = $\sqrt{506.25+100+56.25}$

d = $\sqrt{662.25}$

d = 25.73 cm

Hence,

The maximum length of the rod that can be placed in a cuboid is 25.73 cm