Question

The height of a room is 3.5 m and it contains 70 m³ of air. Find the area of carpet required to cover its floor.
Help me some one please ​

Answer 1

Formula = 1 meter = 100 CM

length × breadth

3.5 × 70 m3 = 2450m3

2450m3 × 100cm = 245000m3

2450m3 × 245000 = 600,250 m3

Answer 2

Given data : The height of a room is 3.5 m and it contains 70 m³ of air.

To find : Find the area of carpet required to cover room's floor.

Solution : A/C to the question;

• Height of the room = 3.5 m
• Length of the room = ?
• Breadth of the room = ?
• Volume of the air = 70 m³

A/C to the question:

A room with air with a volume of 70 m³. Therefore the volume of the room is equal to the volume of air present in it.

Volume of the air = volume of the room = 70 m³

Let, shape of the room is cuboidal;

By formula of the volume of cuboid

➜ volume of the room = length * breadth * height

➜ 70 = length * breadth * 3.5

➜ length * breadth = 70/3.5

➜ length * breadth = 20 ----{1}

Now,

➜ Area of the floor = length * breadth ----{2}

from eq. {1} and {2}

➜ Area of the floor = 20 m²

Answer : Hence, the area of carpet required to cover its floor is 20 m².

{ More info : 1 m² = 10000 cm²

• 20 m² = 200000 cm²

Properties of cuboid :

• A cube has six faces and twelve edges of equal length.
• It has square-shaped faces.
• The angles of the cube in the plane are at a right angle.
• Each face of the cube meets four other faces.
• Each vertex of the cube meets three faces and three edges.
• The opposite edges of the cube are parallel to each other.
• Total Surface Area of Cuboid= 2(lb + bh +lh)}

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