Question

the volume of a room is 18 m3 the area of the floor is 20m2 the the height of the room is ​

Answer 1

Answer :

›»› The height of the room is 0.9 m.

Given :

• Volume of a room = 18 m³.
• Area of the floor = 20 m².

To Find :

• Height of the room = ?

Solution :

Since the room is in the shape of rectangle.

So, Volume of room = Volume of rectangle.

As we know that

→ Volume of room = length * breadth * height

→ Volume of room = l * b * h

→ 18 = l * b * h ..........(1)

Since the floor is also is in the shape of rectangle.

So, Area of floor = Aea of rectangle.

As we know that

→ Area of floor = length * breadth

→ Area of floor = l * b

→ 20 = l * b .............(2)

Now, put the value of equation (2) in equation (1),

→ 18 = l * b * h

→ 18 = 20 * h

→ 18 = 20h

→ 18 - 20h = 0

→ -20h = -18

→ 20h = 18

→ h = 18/20

→ h = 9/10

→ h = 0.9

Hence, the height of the room is 0.9 m.

Answer 2

Answer:

Given :-

• The volume of a room is 18 m³ and the area of the floor is 20 m².

To Find :-

• What is the height.

Formula Used :-

$\boxed{\bold{\small{Area\: of\: the\: floor\: = l\: \times\: b}}}$

$\boxed{\bold{\small{Volume\: of\: the\: room\: =\: l\: \times\: b\: \times\: h}}}$

Solution :-

Area of floor is 20 m²

⇒ Length × breadth = 20 m²

Now, volume of room = 18 m³

According to the question by using the formula we get,

↦ Length × breadth × height = 18 m³

↦ 20 × height = 18 m³

↦ height = $\sf\dfrac{\cancel{18}}{\cancel{20}}$

➠ height = 0.9 m

$\therefore$ The height of the room is 0.9 m .