1 These formulas will be helpful to solve the problem.
Area of a Triangle;
A = 12bh
Area of a Rectangle; A = lw
The front view of a house is composed of a triangle and a rectangle.
The picture shows the front view of a house.
Front View of a House

If the pyramid fits perfectly in a cube, this means that its base is a square and its height has the same value as the side of the square. Let x be the measure of the sides of the cube. The volume of the cube (Vc),
                                    Vc = x³   ; 49 ft³ = x³    ; x = 49^(1/3)

The volume of the pyramid is,
                                Vp = (1/3)(x²)(x) = (1/3)(x³)
Substituting the known values,
                                 Vp = (1/3)((49^(1/3))³ = 16 1/3 ft³

Thus, the volume of the pyramid is approximately 16.33 ft³.