What is the area of a rectangular room if its volume is 49.14m3 and its height is 2.7m?

First, let’s note what is the formula for calculating the volume of a rectangular parallelepiped (since the room has exactly this shape):

V = a * b * c = S main. * h,

where V is the volume of the parallelepiped,

a, b and c – measurements of the parallelepiped (its length, width and height);

S main. – the area of the base of the parallelepiped,

h is the height of the parallelepiped.

Using the second formula, we express from it S main. and calculate what it will be equal to in our case:

S main. = V: h = 49.14: 2.7 = 18.2 (m 2).

Answer: S main. = 18.2 m 2.