The volume of the room is 34.56 m3. Find the height of the room if the area is 12.8 m2.

It is known from the condition that the volume of the room is 34.56 m3. In order to find the height of a room, if the area of the room is 12.8 m2, let’s recall the formula for finding the volume of a rectangular parallelepiped and the formula for finding the area of a rectangle.

So, our room has the shape of a rectangular parallelepiped, and its volume can be found as:

V = a * b * c, where a, b and c in our case are the length, width and height of the room.

Area of the rectangle (room):

S = a * b.

To find the height:

V = S * c;

c = V / S;

Substitute and calculate:

c = 34.56 / 12.8 = 2.7 m room height.