To determine the volume of the doghouse, we simply have to add the volume of the cube and the pyramid which may be obtained by the equations below.
volume of cube = e³
where e is the length of the side
volume of pyramid = e²h / 3
Substituting the known values to the equation,
volume of cube = (3.5 ft)³ = 42.875 ft³
volume of pyramid = (3.5 ft)²(5 ft) / 3 = 20.42 ft³
Adding up these volumes will give us an answer of 63.29 ft³.
