Question

breadth of a room is twice its height and half its length.volume of room is 512 cu m​

Answer 1

Answer:

Height of the room is 4 m.

Length of the room is 4( 4 ) m i.e. 16 m.

Breadth of the room is 2( 4 ) m i.e. 8 m.

Explanation:

Given,

Breadth of a room is twice its height and half its length.

Let,

Height of the room be h m, where cm represents the unit i.e. metre.

Thus,

Breadth of the room should be : twice its height { as given } i.e. 2 x h m = 2h m.

And,

Breadth is half of its length, which means : - breadth = length / 2 = > 2h m { from above breadth = 2 h m } = length / 2 = > 4h m = length

Therefore,

If height of the room is h m then,

Breadth is 2h m

Length is 4h m

Given, volume of the room { which is a cuboid } is 512 m^3.

From the properties of cuboid :

• Volume of cuboid : length x breadth x height

Here,

= > h m x 2h m x 4h m = 512 m^3

= > 8h^3 m^3 = 512 m^3

= > h^3 = 512 m^3 / ( 8 m^3 )

= > h^3 = 64

= > h = 4

Hence,

Height of the room is 4 m.

Length of the room is 4( 4 ) m i.e. 16 m.

Breadth of the room is 2( 4 ) m i.e. 8 m.

Answer 2

Answer:

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