The volume of the room is 60 m3. The height of the room is 3 m, the width is 4 m.

The volume of the room is 60 m3. The height of the room is 3 m, the width is 4 m. Find the length of the room and the area of the floor, ceiling, walls.

The room is a rectangular parallelepiped. A rectangular parallelepiped is a polyhedron built from six faces, each of which is a rectangle. The opposite faces of the rectangular parallelepiped are equal. The volume of a rectangular parallelepiped is calculated as the product of its measurements: length, width and height, that is, V = abc.
Given:
width a = 4 m,
height c = 3 m,
volume V = 60 m ^ 3.
Find: b, S floor, ceiling, walls.
Solution:
From the formula for the volume V = abc, we express the length b (the unknown factor b is equal to the quotient of the product of V and the known factor ac):
b = V / ac = 60 / (4 * 3) = 5 (m).
The area of ​​the floor and ceiling is the same and is calculated using the formula for the area of ​​a rectangle S = ab = 4 * 5 = 20 (m ^ 2).
The areas of the opposite walls are equal (S1 = S2, S3 = S4).
S1,2 = ac = 4 * 3 = 12 (m ^ 2).
S3,4 = cb = 3 * 5 = 15 (m ^ 2).
Answer: b = 5 m, S1,2 = 12 m ^ 2, S3,4 = 15 m ^ 2.