Question

The volume of cuboid is 14400 cm³ and its height is 15 cm . The cross section of the cuboid is a rectangle having its sides in the ratio 5 : 3. Find the perimeter of the cross section.

Answer 1

Volume of a Cuboid = length* width*height

 

let length of a cuboid = 5x cm & width= 3x cm,Volume of a cuboid = 14400 cm3 ,Height =15cm

 

substituting in formula,

 

14400 = 15*5x*3x

14400 =x2

15*15

 

taking square root on both sides, we get

120/15 =x

8= x

 

so length of a cuboid ( rectangula) =5*8=40cm

  width of a cuboid (rectangular)=3*8 =24 cm

 

Perimeter of a cross section= 2(l+w) = 2(40+24)=2(64)=128cm

 

Answer 2

QuestioN :

The volume of cuboid is 14400 cm³ and its height is 15 cm . The cross section of the cuboid is a rectangle having its sides in the ratio 5 : 3. Find the perimeter of the cross section.

GiveN :

• volume of cuboid is 14400 cm³
• height is 15 cm
• sides in the ratio 5 : 3.

To FiNd :

• The perimeter of the cross section.

ANswer :

The perimeter of the cross section is 128cm².

SolutioN :

"It's given In the attachment ."