Question

the internal dimensions of a hall are in ratio, 7 ratio 5 ratio 3 if the volume of the room is 2835 M cube then find the length of the hall

Answer 1

Answer:

Step-by-step explanation:

Answer is 21 ;15 ;9

Answer 2

Given,

• The internal dimensions of a hall are 7:5:3.
• The volume of the room is 2835 m³.

To find,

• We have to find the length of the hall.

Solution,

We can simply find the length of the hall by using the following formula:

  The volume of the cuboid = length * breadth * height

Let the constant of the ratio be 'x'

Then, the length of the hall = 7x

          the breadth of the hall = 5x

          the height of the hall = 3x

Using the above formula of volume of the cuboid, we get

              7x * 5x * 3x = 2835

                       105 x³= 2835

                               x³= 2835/105

                                x³= 27

                                 x = 3

Then, the length of the hall = 7x

                                             = 7 (3)

                                            = 21 m

Hence, the internal dimensions of a hall are in ratio, 7: 5 :3 if the volume of the room is 2835 m³ then the length of the hall is 21 m.