It is known from the condition that the volume of the room is 90.7 m3. In order to find the height of a room, if the area of the room is 33.6 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 = 90.7 / 33.6 = 2.7 m room height.
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