Question

the volume of a room is 792m³ and area of floor is 132m², find height,.

Please step by step explanation​

Answer 1

Question:−

If the volume of a room is 792 m³ and the area of the floor is 132 m² , find the height of the room.

Answer:-

★ The room is cuboid.

•Volume of the room= 792 m³.

• Area of the floor = 132 m² .

Let the length of the room be = X m.

Let the breadth of the room be= Y m.

Let the height of the room be = Z m.

VolumeofCuboid=Length×Breadth×Height

So,

Value of the room= XYZ m³

•According to the question,

XYZ = 792____________(i)

Area of the floor=Length×Breadth

So, area of the floor= XY m² .

• According to the question,

XY = 132____________(ii)

★Take (i) no. equation→

XYZ = 792

→132z = 792 [ put XY = 132]

→ z = 6

Height of the room is 6 m.

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Answer 2

Answer:

h = 6 m.

Step-by-step explanation:

We can proceed with the assumption that this room is shaped like a cuboid.

$V = 792 m^{3}$

$A = 132m^{2}$   - Eq. 1

Check whether all given quantities have the same unit before solving.  If they don't convert the quantities to one unit.  In this case, they do.

$V = lbh$

A = $lb$  - Eq. 2

From Eq. 1 and Eq. 2,

$lb = 132 m^{2}$.

Now, we have to find the height.

We know the value of Volume and $lb$.  Let us substitute these values and solve the problem.

792 = 132 × h

Dividing both sides by 132, we get:

h = 6 m.